This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2008.7.25) 29 MAY 2009 00:39 entering extended mode %&-line parsing enabled. **parteI-noproof.tex (./parteI-noproof.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, loaded. ! Undefined control sequence. l.1 \section {Preliminari} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.1 \section{P reliminari} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no P in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.2 \begin{defn} \label{defanello}. Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no . in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! LaTeX Font Info: External font `cmex10' loaded for size (Font) <7> on input line 3. LaTeX Font Info: External font `cmex10' loaded for size (Font) <5> on input line 3. Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 1--5 [] [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 1--5 \OML/cmm/m/it/10 A$ [] Overfull \hbox (8.0868pt too wide) in paragraph at lines 1--5 \OML/cmm/m/it/10 B$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 1--5 \OML/cmm/m/it/10 A$ [] Overfull \hbox (18.64232pt too wide) in paragraph at lines 1--5 \OML/cmm/m/it/10 B \OMS/cmsy/m/n/10 ^^T [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 1--5 \OML/cmm/m/it/10 A$ [] Missing character: There is no S in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! ! Undefined control sequence. l.8 \eal {&\pgra{0}\subset \pgra{0,1}\( A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.8 \eal{& \pgra{0}\subset \pgra{0,1}\( A} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.8 \eal{&\pgra {0}\subset \pgra{0,1}\( A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no 0 in font nullfont! ! Missing $ inserted. $ l.8 \eal{&\pgra{0}\subset \pgra{0,1}\( A} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.8 \eal{&\pgra{0}\subset \pgra {0,1}\( A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.8 \eal{&\pgra{0}\subset \pgra{0,1}\( A} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Extra }, or forgotten $. l.8 \eal{&\pgra{0}\subset \pgra{0,1}\( A} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no 2 in font nullfont! ! LaTeX Error: Command \item invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.10 \item Ogni anello sara' ritenuto implicitamente unitario. Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.10 \item O gni anello sara' ritenuto implicitamente unitario. Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.10 \item O gni anello sara' ritenuto implicitamente unitario. Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Command \end{enumerate} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.11 \end{enumerate} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.11 \end{enumerate} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.11 \end{enumerate} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.11 \end{enumerate} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.11 \end{enumerate} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.12 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment rem undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.13 \begin{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no T in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{rem}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.16 \end{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (22.06944pt too wide) in paragraph at lines 7--17 \OT1/cmr/m/n/10 0[] \OMS/cmsy/m/n/10 6\OT1/cmr/m/n/10 = [] Overfull \hbox (11.51393pt too wide) in paragraph at lines 7--17 \OT1/cmr/m/n/10 1[]$ [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 7--17 \OMS/cmsy/m/n/10 ^^Z [] Overfull \hbox (222.96469pt too wide) in paragraph at lines 7--17 []\OML/cmm/m/it/10 AQuindiognianellounitariohaalmeno$$elementi:[] [] Overfull \hbox (217.36234pt too wide) in paragraph at lines 7--17 \OML/cmm/m/it/10 Ognianellosara[]ritenutoimplicitamenteunitario:$ [] ! Undefined control sequence. l.18 \section {Algebre} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no A in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.20 \begin{defn} \label{defalgebra} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! ! Undefined control sequence. \@footnotetext ...tins {\reset@font \footnotesize \interlinepenalty \interfo... l.23 l'anello e' unitario} . The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. \@footnotetext ...}\color@begingroup \@makefntext {\rule \z@ \footnotesep \i... l.23 l'anello e' unitario} . The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (30.61119pt too wide) in paragraph at lines 23--23 [][]\OT1/cmr/m/n/10 usiamo [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 la [] Overfull \hbox (25.16669pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 stessa [] Overfull \hbox (13.88892pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 op- [] Overfull \hbox (11.69444pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 er- [] Overfull \hbox (27.22227pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 azione [] Overfull \hbox (8.33336pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 di [] Overfull \hbox (30.61119pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 somma [] Overfull \hbox (11.72224pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 sia [] Overfull \hbox (20.5556pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 nello [] Overfull \hbox (26.72227pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 spazio [] Overfull \hbox (14.16667pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 che [] Overfull \hbox (46.66678pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 nell'anello. [] Overfull \hbox (31.9445pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 NOTA: [] Overfull \hbox (31.11119pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 l'anello [] Overfull \hbox (7.22223pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 e' [] Overfull \hbox (17.22226pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 uni- [] Overfull \hbox (20.58339pt too wide) in paragraph at lines 23--23 \OT1/cmr/m/n/10 tario| [] Missing character: There is no . in font nullfont! ! Undefined control sequence. l.24 \eal {&A\T{ e' un'algebra} \definizione{\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.24 \eal{& A\T{ e' un'algebra} \definizione{\=} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no A in font nullfont! ! Undefined control sequence. l.24 \eal{&A\T { e' un'algebra} \definizione{\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.24 \eal{&A\T{ e' un'algebra} \definizione {\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.24 \eal{&A\T{ e' un'algebra} \definizione{\=} I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. LaTeX Font Info: Try loading font information for +cmr on input line 24. LaTeX Font Info: No file cmr.fd. on input line 24. LaTeX Font Warning: Font shape `/cmr/m/n' undefined (Font) using `/cmr/m/n' instead on input line 24. ! Corrupted NFSS tables. wrong@fontshape ...message {Corrupted NFSS tables} error@fontshape else let f... l.24 \eal{&A\T{ e' un'algebra} \definizione{\=} This error message was generated by an \errmessage command, so I can't give any explicit help. Pretend that you're Hercule Poirot: Examine all clues, and deduce the truth by order and method. LaTeX Font Warning: Font shape `/cmr/m/n' undefined (Font) using `OT1/cmr/m/n' instead on input line 24. Overfull \hbox (20.0pt too wide) in paragraph at lines 18--24 [] [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 18--24 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 18--24 \OML/cmm/m/it/10 F$ [] Overfull \hbox (4.48613pt too wide) in paragraph at lines 18--24 [] [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 18--24 \/cmr/m/n/10 ^^V [] ! Missing $ inserted. $ l.25 \l (ab) = (\l a)b = a(\l b) \;\;\forall a,b\in A,\;\forall \l \in F I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \l ->{\lambda } l.25 \l (ab) = (\l a)b = a(\l b) \;\;\forall a,b\in A,\;\forall \l \in F I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.26 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.27 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.27 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.27 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.28 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.29 Sia $B\( A$, Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.30 \eal {&B \T{ e' una sottoalgebra di } A \definizione{\= } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.30 \eal{& B \T{ e' una sottoalgebra di } A \definizione{\= } I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no B in font nullfont! ! Undefined control sequence. l.30 \eal{&B \T { e' una sottoalgebra di } A \definizione{\= } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no A in font nullfont! ! Undefined control sequence. l.30 ...T{ e' una sottoalgebra di } A \definizione {\= } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.30 ... una sottoalgebra di } A \definizione{\= } I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. Overfull \hbox (53.74422pt too wide) in paragraph at lines 25--30 []$\OML/cmm/m/it/10 ^^U\/cmr/m/n/10 (\OML/cmm/m/it/10 ab\/cmr/m/n/10 ) = [] Overfull \hbox (33.74422pt too wide) in paragraph at lines 25--30 \/cmr/m/n/10 (\OML/cmm/m/it/10 ^^Ua\/cmr/m/n/10 )\OML/cmm/m/it/10 b \/cmr/m/n/1 0 = [] Overfull \hbox (57.76605pt too wide) in paragraph at lines 25--30 \OML/cmm/m/it/10 a\/cmr/m/n/10 (\OML/cmm/m/it/10 ^^Ub\/cmr/m/n/10 ) \OMS/cmsy/ m/n/10 8\OML/cmm/m/it/10 a; b \OMS/cmsy/m/n/10 2 [] Overfull \hbox (35.55547pt too wide) in paragraph at lines 25--30 \OML/cmm/m/it/10 A; \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 ^^U \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 25--30 \OML/cmm/m/it/10 F$ [] Overfull \hbox (15.58682pt too wide) in paragraph at lines 25--30 \OML/cmm/m/it/10 BA$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 25--30 \/cmr/m/n/10 ^^V [] Missing character: There is no B in font nullfont! ! Undefined control sequence. l.31 B \sist {\T{ e' un sottospazio vettoriale di A }\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.31 B \sist{\T { e' un sottospazio vettoriale di A }\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no A in font nullfont! ! Undefined control sequence. \T l.32 \T { e' un sottoanello di A}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no 1 in font nullfont! ! Missing $ inserted. $ l.33 1_ A\in B} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.33 1_A\in B} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.34 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no B in font nullfont! Missing character: There is no A in font nullfont! ! Undefined control sequence. l.36 \eal {&B \SA A The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.36 \eal{& B \SA A I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.36 \eal{&B \SA A The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.38 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.38 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.38 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.38 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment rem undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.39 \begin{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no U in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! LaTeX Error: \begin{document} ended by \end{rem}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.41 \end{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.42 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.43 \eal {&B \SA A \= \sist{x-y \in B\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.43 \eal{& B \SA A \= \sist{x-y \in B\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no B in font nullfont! ! Undefined control sequence. l.43 \eal{&B \SA A \= \sist{x-y \in B\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no A in font nullfont! ! Undefined control sequence. \@use@text@encoding \@curr@enc \sist l.43 \eal{&B \SA A \= \sist {x-y \in B\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. \@use@text@encoding \@curr@enc \sist l.43 \eal{&B \SA A \= \sist {x-y \in B\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no x in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no y in font nullfont! ! Missing $ inserted. $ l.43 \eal{&B \SA A \= \sist{x-y \in B\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.46 1_A\in B} \;\;\forall x,y\in B,\;\;\forall \l\in F I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.47 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.48 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.48 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.48 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.48 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment exemp undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.49 \begin{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no I in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 31--51 [] [] Overfull \hbox (15.95831pt too wide) in paragraph at lines 31--51 [] \OMS/cmsy/m/n/10 2 [] Overfull \hbox (261.04732pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 BSe$$e[]unasottoalgebradi$$utilizzeremolaseguentenotazione \/c mr/m/n/10 : [] Overfull \hbox (15.58682pt too wide) in paragraph at lines 31--51 []$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 31--51 \/cmr/m/n/10 ^^V [] Overfull \hbox (6.66669pt too wide) in paragraph at lines 31--51 \OMS/cmsy/m/n/10 2 [] Overfull \hbox (8.0868pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 B[] [] Overfull \hbox (20.99303pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 ^^Ux \OMS/cmsy/m/n/10 2 [] Overfull \hbox (8.0868pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 B[] [] Overfull \hbox (20.42126pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 xy \OMS/cmsy/m/n/10 2 [] Overfull \hbox (8.0868pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 B[] [] Overfull \hbox (20.95833pt too wide) in paragraph at lines 31--51 \/cmr/m/n/10 1[] \OMS/cmsy/m/n/10 2 [] Overfull \hbox (44.06348pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 B \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 x; y \OMS/cmsy/m/n/10 2 [] Overfull \hbox (38.91997pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 B; \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 ^^U \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 31--51 \OML/cmm/m/it/10 F$ [] ! Undefined control sequence. l.52 \item $A=\mat (n, F)$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (18.05553pt too wide) in paragraph at lines 52--53 \OML/cmm/m/it/10 A \/cmr/m/n/10 = [] Overfull \hbox (26.04402pt too wide) in paragraph at lines 52--53 \/cmr/m/n/10 (\OML/cmm/m/it/10 n; F\/cmr/m/n/10 )$ [] ! Undefined control sequence. l.53 \item $A=\Hom (V,V)_F$, con $V$ spazio vett. finitamente The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (18.05553pt too wide) in paragraph at lines 53--55 \OML/cmm/m/it/10 A \/cmr/m/n/10 = [] Overfull \hbox (33.3146pt too wide) in paragraph at lines 53--55 \/cmr/m/n/10 (\OML/cmm/m/it/10 V; V\/cmr/m/n/10 )[]$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 53--55 \OML/cmm/m/it/10 V$ [] ! LaTeX Error: \begin{document} ended by \end{exemp}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.56 \end{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.57 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no : in font nullfont! ! Undefined control sequence. l.59 \eal {&Z(A) = \pgra{ a \in A \;|\; ab=ba\;\;\forall b\in A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.59 \eal{& Z(A) = \pgra{ a \in A \;|\; ab=ba\;\;\forall b\in A} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no Z in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no = in font nullfont! ! Undefined control sequence. l.59 \eal{&Z(A) = \pgra { a \in A \;|\; ab=ba\;\;\forall b\in A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no a in font nullfont! ! Missing $ inserted. $ l.59 \eal{&Z(A) = \pgra{ a \in A \;|\; ab=ba\;\;\forall b\in A} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.59 ...ra{ a \in A \;|\; ab=ba\;\;\forall b\in A} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.60 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.61 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.61 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.61 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.61 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment rem undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.62 \begin{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.63 $Z(A) \SA A$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{rem}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.64 \end{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.65 \begin{prop} \label{zentrobase} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.67 \eal {&Z(A)= \pgra{a\in A\;|\;ae_i=e_ia\;\;\forall i=1,\dots,n} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.67 \eal{& Z(A)= \pgra{a\in A\;|\;ae_i=e_ia\;\;\forall i=1,\dots,n} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no Z in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no = in font nullfont! ! Undefined control sequence. l.67 \eal{&Z(A)= \pgra {a\in A\;|\;ae_i=e_ia\;\;\forall i=1,\dots,n} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no a in font nullfont! ! Missing $ inserted. $ l.67 \eal{&Z(A)= \pgra{a\in A\;|\;ae_i=e_ia\;\;\forall i=1,\dots,n} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.67 ...in A\;|\;ae_i=e_ia\;\;\forall i=1,\dots,n} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.68 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.69 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.69 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.69 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.69 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.70 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! ! Undefined control sequence. l.72 \eal {&f\T{ e' un omomorfismo di algebre (alg-hom)} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.72 \eal{& f\T{ e' un omomorfismo di algebre (alg-hom)} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no f in font nullfont! ! Undefined control sequence. l.72 \eal{&f\T { e' un omomorfismo di algebre (alg-hom)} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. l.73 \definizione {\=} \sist{f\T{ e' una applicazione lineare }\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.73 \definizione{\=} \sist{f\T{ e' una applicazione lineare }\\ I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. Overfull \hbox (7.50002pt too wide) in paragraph at lines 58--73 $\OML/cmm/m/it/10 A$ [] Overfull \hbox (6.66669pt too wide) in paragraph at lines 58--73 \OMS/cmsy/m/n/10 2 [] Overfull \hbox (35.96628pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 A \OMS/cmsy/m/n/10 j \OML/cmm/m/it/10 ab \/cmr/m/n/10 = [] Overfull \hbox (34.42459pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 ba \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 b \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 A$ [] Overfull \hbox (30.3195pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 Z\/cmr/m/n/10 (\OML/cmm/m/it/10 A\/cmr/m/n/10 )\OML/cmm/m/it/1 0 A$ [] Overfull \hbox (41.46405pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 e[]; [] ; e[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 A$ [] Overfull \hbox (6.66669pt too wide) in paragraph at lines 58--73 \OMS/cmsy/m/n/10 2 [] Overfull \hbox (39.66017pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 A \OMS/cmsy/m/n/10 j \OML/cmm/m/it/10 ae[] \/cmr/m/n/10 = [] Overfull \hbox (38.38307pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 e[]a \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 i \/cmr/m/n/10 = [] Overfull \hbox (33.22443pt too wide) in paragraph at lines 58--73 \/cmr/m/n/10 1\OML/cmm/m/it/10 ; [] ; n$ [] Overfull \hbox (11.52776pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 f \/cmr/m/n/10 : [] Overfull \hbox (26.38892pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 A [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (8.0868pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 B$ [] Overfull \hbox (20.03123pt too wide) in paragraph at lines 58--73 \OML/cmm/m/it/10 A; B$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 58--73 \/cmr/m/n/10 ^^V [] ! Undefined control sequence. l.73 \definizione{\=} \sist {f\T{ e' una applicazione lineare }\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no f in font nullfont! ! Undefined control sequence. l.73 \definizione{\=} \sist{f\T { e' una applicazione lineare }\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! ! Undefined control sequence. l.74 f\T { e' un omomorfismo di anelli}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! ! Missing $ inserted. $ l.75 f(1_ A)=1_B I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.76 } \= \sist{f(\lambda x + \mu y) = \lambda f(x) + \mu f(y)\\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. LaTeX Warning: Command \= invalid in math mode on input line 76. LaTeX Warning: Command \= invalid in math mode on input line 76. ! Undefined control sequence. \@use@text@encoding \@curr@enc \sist l.76 } \= \sist {f(\lambda x + \mu y) = \lambda f(x) + \mu f(y)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.76 } \= \sist {f(\lambda x + \mu y) = \lambda f(x) + \mu f(y)\\ I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! Missing { inserted. \edef l.76 } \= \sist {f(\lambda x + \mu y) = \lambda f(x) + \mu f(y)\\ A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) ! Undefined control sequence. \@use@text@encoding \@curr@enc \sist l.76 } \= \sist {f(\lambda x + \mu y) = \lambda f(x) + \mu f(y)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.76 } \= \sist {f(\lambda x + \mu y) = \lambda f(x) + \mu f(y)\\ Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.81 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.81 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no è in font cmex10! ! Missing } inserted. } l.81 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.81 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment exemp undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.82 \begin{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.84 \eal {&f:F\longrightarrow A\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.84 \eal{& f:F\longrightarrow A\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no f in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no F in font nullfont! ! Missing $ inserted. $ l.84 \eal{&f:F\longrightarrow A\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Misplaced alignment tab character &. & l.85 & \lambda \mapsto \lambda 1_A} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Extra }, or forgotten $. l.85 &\lambda \mapsto \lambda 1_A} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{exemp}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.87 \end{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.87 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.87 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.88 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no C in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! Undefined control sequence. l.89 Con $I\tleq A$ indichiamo un ideale (bilatero) di $A$. Con $I\tleqD A$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no C in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! Undefined control sequence. l.89 ... un ideale (bilatero) di $A$. Con $I\tleqD A$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.91 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.92 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.93 Sia $I\tleqD A$ un ideale destro di $A$, allora The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.94 \eal {&I\tleqD A \> I \le A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.94 \eal{& I\tleqD A \> I \le A} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no I in font nullfont! ! Undefined control sequence. l.94 \eal{&I\tleqD A \> I \le A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no A in font nullfont! ! Missing $ inserted. $ l.94 \eal{&I\tleqD A \> I \le A} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.94 \eal{&I\tleqD A \> I \le A} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no I in font nullfont! Missing character: There is no A in font nullfont! ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.96 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.96 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.96 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.98 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. \pgra l.100 Sia $\pgra {e_{ij}\;|\;i,j=1,\dots,n}$ la base canonica di $\mat(n,F)$, The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! ! Undefined control sequence. \mat l.100 ...i,j=1,\dots,n}$ la base canonica di $\mat (n,F)$, The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.103 Sia $a\in \mat (n,F)$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.105 \eal {&1.\;\; e_{ij} e_{kl}= \d_{jk} e_{il}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.105 \eal{& 1.\;\; e_{ij} e_{kl}= \d_{jk} e_{il}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! ! Missing $ inserted. $ l.105 \eal{&1.\; \; e_{ij} e_{kl}= \d_{jk} e_{il}\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Misplaced alignment tab character &. & l.106 & 2.\;\;ae_{kl} = \sum_{i} a_{ik}e_{il} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! LaTeX Error: Environment bmatrix undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.107 = \begin{bmatrix} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Misplaced alignment tab character &. l.108 0 & \ldots & 0 & a_{1k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.108 0 & \ldots & 0 & a_{1k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.108 0 & \ldots & 0 & a_{1k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.108 0 & \ldots & 0 & a_{1k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.108 0 & \ldots & 0 & a_{1k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.108 ...& \ldots & 0 & a_{1k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.109 0 & \ldots & 0 & a_{2k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.109 0 & \ldots & 0 & a_{2k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.109 0 & \ldots & 0 & a_{2k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.109 0 & \ldots & 0 & a_{2k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.109 0 & \ldots & 0 & a_{2k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.109 ...& \ldots & 0 & a_{2k} & 0 & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no . in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no . in font nullfont! ! Misplaced alignment tab character &. l.111 0 & \ldots & 0 & a_{nk} & 0 & \ldots & 0 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.111 0 & \ldots & 0 & a_{nk} & 0 & \ldots & 0 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.111 0 & \ldots & 0 & a_{nk} & 0 & \ldots & 0 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.111 0 & \ldots & 0 & a_{nk} & 0 & \ldots & 0 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.111 0 & \ldots & 0 & a_{nk} & 0 & \ldots & 0 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.111 ...& \ldots & 0 & a_{nk} & 0 & \ldots & 0 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! LaTeX Error: \begin{document} ended by \end{bmatrix}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.112 \end{bmatrix} \\ Your command was ignored. Type I to replace it with another command, or to continue without it. ! Misplaced alignment tab character &. & l.113 & 3.\;\;e_{kl}a = \sum_{i} a_{li}e_{ki} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! LaTeX Error: Environment bmatrix undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.114 = \begin{bmatrix} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Misplaced alignment tab character &. l.115 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.115 0 & & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.115 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.116 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.116 0 & & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.116 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no . in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no . in font nullfont! ! Misplaced alignment tab character &. l.118 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.118 0 & & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.118 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.119 a_{l1} & a_{l2} & \ldots & a_{ln} \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.119 a_{l1} & a_{l2} & \ldots & a_{ln} \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.119 a_{l1} & a_{l2} & \ldots & a_{ln} \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.120 0 & & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.120 0 && \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.120 0 && \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no . in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no . in font nullfont! ! Misplaced alignment tab character &. l.122 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.122 0 & & \ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.122 0 & &\ldots & 0 \\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! LaTeX Error: \begin{document} ended by \end{bmatrix}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.123 \end{bmatrix} \\ Your command was ignored. Type I to replace it with another command, or to continue without it. ! Misplaced alignment tab character &. & l.124 & 4.\;\;e_{rs}ae_{kl}= a_{sk}e_{rl} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Extra }, or forgotten $. l.125 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Missing $ inserted. $ l.127 \begin{enumerate} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Missing \endgroup inserted. \endgroup l.127 \begin{enumerate} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Overfull \hbox (20.95833pt too wide) in paragraph at lines 73--127 []\/cmr/m/n/10 ) = [] Overfull \hbox (357.30968pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 1[][]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 F$ [] Overfull \hbox (16.11119pt too wide) in paragraph at lines 73--127 [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 A[] [] Overfull \hbox (18.61108pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 ^^U \OMS/cmsy/m/n/10 7! [] Overfull \hbox (188.13124pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 ^^U\/cmr/m/n/10 1[]\OML/cmm/m/it/10 e[]unaomomorfismodialgebre iniettivo:$ [] Overfull \hbox (12.68056pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 IA$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 A$ [] Overfull \hbox (12.68056pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 IA$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 A$ [] Overfull \hbox (12.68056pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 IA$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 A$ [] Overfull \hbox (15.73605pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 I \OMS/cmsy/m/n/10 ^^T [] Overfull \hbox (163.72688pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 Aovvero;$$e[]unsottospaziovettorialedi$$:$ [] Overfull \hbox (79.17pt too wide) in paragraph at lines 73--127 []$ [] Overfull \hbox (26.04402pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 (\OML/cmm/m/it/10 n; F\/cmr/m/n/10 )$ [] Overfull \hbox (11.69911pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 e[]$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 1$ [] Overfull \hbox (12.58003pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 i; j$ [] Overfull \hbox (14.73029pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (26.04402pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 (\OML/cmm/m/it/10 n; F\/cmr/m/n/10 )$ [] Overfull \hbox (34.40051pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 e[]e[] \/cmr/m/n/10 = [] Overfull \hbox (23.63318pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 ^^N[]e[][] [] Overfull \hbox (41.32051pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 2\OML/cmm/m/it/10 : ae[] \/cmr/m/n/10 = [] Overfull \hbox (49.69736pt too wide) in paragraph at lines 73--127 [][] \OML/cmm/m/it/10 a[]e[] \/cmr/m/n/10 = [] Overfull \hbox (64.19197pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0\OML/cmm/m/it/10 a[]\/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (64.19197pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0\OML/cmm/m/it/10 a[]\/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (65.14917pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0\OML/cmm/m/it/10 a[]\/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (41.32051pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 3\OML/cmm/m/it/10 : e[]a \/cmr/m/n/10 = [] Overfull \hbox (49.69736pt too wide) in paragraph at lines 73--127 [][] \OML/cmm/m/it/10 a[]e[] \/cmr/m/n/10 = [] Overfull \hbox (24.9999pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (24.9999pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (24.9999pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (52.98149pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 a[]a[] [] a[][] [] Overfull \hbox (24.9999pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (24.9999pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 0 [] 0[] [] Overfull \hbox (54.17935pt too wide) in paragraph at lines 73--127 \/cmr/m/n/10 4\OML/cmm/m/it/10 : e[]ae[] \/cmr/m/n/10 = [] Overfull \hbox (97.63013pt too wide) in paragraph at lines 73--127 \OML/cmm/m/it/10 a[]e[]Intuitivamente;$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.128 \item $ ae_{kl}$ e' la matrice con la colonna $k$-esima di $a$ Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Overfull \hbox (17.43178pt too wide) in paragraph at lines 128--131 \OML/cmm/m/it/10 ae[]$ [] Overfull \hbox (5.52084pt too wide) in paragraph at lines 128--131 \OML/cmm/m/it/10 k$ [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 128--131 \OML/cmm/m/it/10 a$ [] Overfull \hbox (3.18057pt too wide) in paragraph at lines 128--131 \OML/cmm/m/it/10 l$ [] ! LaTeX Error: The font size command \normalsize is not defined: there is probably something wrong with the class file. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.131 $ e_{kl}a$ e' la matrice con la riga $l$-esima di $a$ posta nella Your command was ignored. Type I to replace it with another command, or to continue without it. [1 ! Undefined control sequence. \newlabel{defanello}{{}{\thepage }} l.131 $ e_{kl}a$ e' la matrice con la riga $l$-esima di $a$ posta nella The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{defanello}{{}{}} {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map} ! Undefined control sequence. \newlabel{defalgebra}{{}{\thepage }} l.131 $ e_{kl}a$ e' la matrice con la riga $l$-esima di $a$ posta nella The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{defalgebra}{{}{}} ! Undefined control sequence. \newlabel{zentrobase}{{}{\thepage }} l.131 $ e_{kl}a$ e' la matrice con la riga $l$-esima di $a$ posta nella The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{zentrobase}{{}{}} ! Undefined control sequence. \newlabel{propmat}{{}{\thepage }} l.131 $ e_{kl}a$ e' la matrice con la riga $l$-esima di $a$ posta nella The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{propmat}{{}{}} ] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.131 $ e_{kl}a$ e' la matrice con la riga $l$-esima di $a$ posta nella Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (17.43178pt too wide) in paragraph at lines 131--133 \OML/cmm/m/it/10 e[]a$ [] Overfull \hbox (3.18057pt too wide) in paragraph at lines 131--133 \OML/cmm/m/it/10 l$ [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 131--133 \OML/cmm/m/it/10 a$ [] Overfull \hbox (5.52084pt too wide) in paragraph at lines 131--133 \OML/cmm/m/it/10 k$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.133 \item $ e_{rs}ae_{kl}$ e' la matrice che ha l'elemento $a_{sk}$ nel posto Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no T in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (30.29062pt too wide) in paragraph at lines 133--135 \OML/cmm/m/it/10 e[]ae[]$ [] Overfull \hbox (13.98038pt too wide) in paragraph at lines 133--135 \OML/cmm/m/it/10 a[]$ [] Overfull \hbox (11.8588pt too wide) in paragraph at lines 133--135 \OML/cmm/m/it/10 r; l$ [] ! LaTeX Error: \begin{document} ended by \end{enumerate}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.135 \end{enumerate} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } l.135 \end{enumerate} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.136 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Extra \endgroup. \endgroup l.136 \end{prop} Things are pretty mixed up, but I think the worst is over. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.137 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.141 \eal {&1.\;\;p_{ij}=1- e_{jj}-e_{ii} +e_{ij}+e_{ji}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.141 \eal{& 1.\;\;p_{ij}=1- e_{jj}-e_{ii} +e_{ij}+e_{ji}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! ! Missing $ inserted. $ l.141 \eal{&1.\; \;p_{ij}=1- e_{jj}-e_{ii} +e_{ij}+e_{ji}\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Misplaced alignment tab character &. & l.142 & 2.\;\;p_{ij}a\T{ e' la matrice ottenuta scambiando le righe $i,j$ di I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.142 &2.\;\;p_{ij}a\T { e' la matrice ottenuta scambiando le righe $i,j$ di The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.142 ...la matrice ottenuta scambiando le righe $ i,j$ di I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no j in font nullfont! Missing character: There is no a in font nullfont! ! Extra }, or forgotten $. } l.143 $a$} \\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Misplaced alignment tab character &. & l.144 & 3.\;\;ap_{ij}\T{ e' la matrice ottenuta scambiando le colonne $i,j$ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.144 &3.\;\;ap_{ij}\T { e' la matrice ottenuta scambiando le colonne $i,j$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.144 ... matrice ottenuta scambiando le colonne $ i,j$ I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no j in font nullfont! Missing character: There is no a in font nullfont! ! Extra }, or forgotten $. } l.145 di $a$} \\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Misplaced alignment tab character &. & l.146 & 4.\;\;p_{ij}e_{jk}=e_{ik}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. & l.147 & 5.\;\;e_{ij}p_{jk}=e_{ik} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Extra }, or forgotten $. l.148 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.149 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.149 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.149 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.150 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.152 \eal {&Z(\mat(n,F))= \pgra{\diag(\l,\l,\dots,\l)\;|\;\l\in F} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.152 \eal{& Z(\mat(n,F))= \pgra{\diag(\l,\l,\dots,\l)\;|\;\l\in F} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no Z in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.152 \eal{&Z(\mat (n,F))= \pgra{\diag(\l,\l,\dots,\l)\;|\;\l\in F} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no F in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no = in font nullfont! ! Undefined control sequence. l.152 \eal{&Z(\mat(n,F))= \pgra {\diag(\l,\l,\dots,\l)\;|\;\l\in F} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.152 \eal{&Z(\mat(n,F))= \pgra{\diag (\l,\l,\dots,\l)\;|\;\l\in F} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! ! Missing $ inserted. $ l.152 \eal{&Z(\mat(n,F))= \pgra{\diag(\l ,\l,\dots,\l)\;|\;\l\in F} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \l ->{\lambda } l.152 \eal{&Z(\mat(n,F))= \pgra{\diag(\l ,\l,\dots,\l)\;|\;\l\in F} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.152 ... \pgra{\diag(\l,\l,\dots,\l)\;|\;\l\in F} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.153 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.154 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.154 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.154 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.154 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.154 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.155 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.157 \eal {&A \T{ e' semplice } \definizione{\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.157 \eal{& A \T{ e' semplice } \definizione{\=} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no A in font nullfont! ! Undefined control sequence. l.157 \eal{&A \T { e' semplice } \definizione{\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.157 \eal{&A \T{ e' semplice } \definizione {\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.157 \eal{&A \T{ e' semplice } \definizione{\=} I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. Overfull \hbox (12.0741pt too wide) in paragraph at lines 139--157 $\OML/cmm/m/it/10 p[]$ [] Overfull \hbox (3.44513pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 i$ [] Overfull \hbox (4.69049pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 j$ [] Overfull \hbox (22.62961pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 p[] \/cmr/m/n/10 = [] Overfull \hbox (12.77782pt too wide) in paragraph at lines 139--157 \/cmr/m/n/10 1 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (20.36119pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 e[] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (18.59264pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 e[] \/cmr/m/n/10 + [] Overfull \hbox (19.47691pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 e[] \/cmr/m/n/10 + [] Overfull \hbox (11.69911pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 e[][] [] Overfull \hbox (211.29245pt too wide) in paragraph at lines 139--157 \/cmr/m/n/10 2\OML/cmm/m/it/10 : p[]a[]$$di$$[] [] Overfull \hbox (221.3752pt too wide) in paragraph at lines 139--157 \/cmr/m/n/10 3\OML/cmm/m/it/10 : ap[][]$$di$$[] [] Overfull \hbox (49.25282pt too wide) in paragraph at lines 139--157 \/cmr/m/n/10 4\OML/cmm/m/it/10 : p[]e[] \/cmr/m/n/10 = [] Overfull \hbox (12.40572pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 e[][] [] Overfull \hbox (49.25282pt too wide) in paragraph at lines 139--157 \/cmr/m/n/10 5\OML/cmm/m/it/10 : e[]p[] \/cmr/m/n/10 = [] Overfull \hbox (12.40572pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 e[]$ [] Overfull \hbox (71.66641pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 ^^U; ^^U; [] ; ^^U\/cmr/m/n/10 ) \OMS/cmsy/m/n/10 j \OML/cmm/m /it/10 ^^U \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 F$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 139--157 \OML/cmm/m/it/10 A$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 139--157 \/cmr/m/n/10 ^^V [] ! Undefined control sequence. l.158 \sist {\forall I\tleq A \;\;I = A \| I = 0\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.158 \sist{\forall I\tleq A \;\;I = A \| I = 0\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.158 \sist{\forall I\tleq A \;\;I = A \| I = 0\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.160 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.161 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no A in font nullfont! ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.163 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.163 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.163 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.163 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment thm undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.164 \begin{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.165 Sia $A=\mat (n,F)$, con $F$ campo, allora, The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.166 \eal {&A\T{ e' un'algebra semplice}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.166 \eal{& A\T{ e' un'algebra semplice}} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no A in font nullfont! ! Undefined control sequence. l.166 \eal{&A\T { e' un'algebra semplice}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! ! LaTeX Error: \begin{document} ended by \end{thm}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.167 \end{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment rem undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.168 \begin{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no A in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.171 \eal {&I=\pgra{\begin{bmatrix} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.171 \eal{& I=\pgra{\begin{bmatrix} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no I in font nullfont! Missing character: There is no = in font nullfont! ! Undefined control sequence. l.171 \eal{&I=\pgra {\begin{bmatrix} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: Environment bmatrix undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.171 \eal{&I=\pgra{\begin{bmatrix} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Command \& unavailable in encoding . See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.172 \a & \b \\ Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no 0 in font nullfont! ! Misplaced alignment tab character &. l.173 0 & 0 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no 0 in font nullfont! ! LaTeX Error: \begin{document} ended by \end{bmatrix}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.174 \end{bmatrix} \;|\; \a,\b\in F}} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.174 \end{bmatrix}\; |\; \a,\b\in F}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX Warning: Command \, invalid in math mode on input line 174. ! LaTeX Error: Command \, unavailable in encoding . See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.174 \end{bmatrix}\;|\; \a, \b\in F}} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX Warning: Command \b invalid in math mode on input line 174. LaTeX Warning: Command \b invalid in math mode on input line 174. ! Missing $ inserted. $ l.174 \end{bmatrix}\;|\; \a,\b\in F}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Missing $ inserted. $ l.174 \end{bmatrix}\;|\; \a,\b\in F}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.174 \end{bmatrix}\;|\; \a,\b\in F} } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.174 \end{bmatrix}\;|\; \a,\b\in F}} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no A in font nullfont! Missing character: There is no = in font nullfont! ! Undefined control sequence. l.175 e' un ideale destro di $A=\mat (n,F)$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no F in font nullfont! Missing character: There is no ) in font nullfont! ! LaTeX Error: \begin{document} ended by \end{rem}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.176 \end{rem} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.176 \end{rem} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.176 \end{rem} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.176 \end{rem} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Undefined control sequence. l.177 \subsection {Moduli} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no M in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.178 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.179 \ilabel {modulo} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.181 \eal {&V\T{ e' un $A$-modulo, secondo l'operazione $\.:V\*A \longrighta... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.181 \eal{& V\T{ e' un $A$-modulo, secondo l'operazione $\.:V\*A \longrighta... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no V in font nullfont! ! Undefined control sequence. l.181 \eal{&V\T { e' un $A$-modulo, secondo l'operazione $\.:V\*A \longrighta... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! LaTeX Warning: Command \. invalid in math mode on input line 181. LaTeX Warning: Command \. invalid in math mode on input line 181. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.181 ... un $A$-modulo, secondo l'operazione $\.: V\*A \longrightarrow V$ I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! Missing { inserted. \edef l.181 ... un $A$-modulo, secondo l'operazione $\.: V\*A \longrightarrow V$ A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.181 ... un $A$-modulo, secondo l'operazione $\.: V\*A \longrightarrow V$ Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! Missing } inserted. } l.181 ...l'operazione $\.:V\*A \longrightarrow V$ I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! \textfont 7 is undefined (character Ð). $ l.181 ...l'operazione $\.:V\*A \longrightarrow V$ Somewhere in the math formula just ended, you used the stated character from an undefined font family. For example, plain TeX doesn't allow \it or \sl in subscripts. Proceed, and I'll try to forget that I needed that character. ! Undefined control sequence. l.182 }\definizione {\=}\NN The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.182 }\definizione{\=} \NN I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. Overfull \hbox (39.5276pt too wide) in paragraph at lines 158--182 $\OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 IA I \/cmr/m/n/10 = [] Overfull \hbox (28.23608pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 A\OMS/cmsy/m/n/10 k\OML/cmm/m/it/10 I \/cmr/m/n/10 = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 158--182 \/cmr/m/n/10 0[] [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 A \OMS/cmsy/m/n/10 6\/cmr/m/n/10 = [] Overfull \hbox (246.62724pt too wide) in paragraph at lines 158--182 \/cmr/m/n/10 0\OML/cmm/m/it/10 Inaltreparole;$$e[]semplicequandononhaidealinonb anali:$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 A \/cmr/m/n/10 = [] Overfull \hbox (26.04402pt too wide) in paragraph at lines 158--182 \/cmr/m/n/10 (\OML/cmm/m/it/10 n; F\/cmr/m/n/10 )$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 F$ [] Overfull \hbox (102.10571pt too wide) in paragraph at lines 158--182 \OMS/cmsy/m/n/10 j []\OML/cmm/m/it/10 Fe[]unidealedestrodi$$$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 F$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 F$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 158--182 \OML/cmm/m/it/10 A$ [] Overfull \hbox (48.05553pt too wide) in paragraph at lines 158--182 []$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 158--182 \/cmr/m/n/10 ^^V [] ! Undefined control sequence. l.182 }\definizione{\=}\NN The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.183 \qq \definizione{\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.183 \qq\definizione {\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.183 \qq\definizione{\=} I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. Overfull \hbox (5.00002pt too wide) in paragraph at lines 183--183 \/cmr/m/n/10 ^^V [] ! Undefined control sequence. l.184 \sist {1.\;\;v1_{A} = v\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! ! Missing $ inserted. $ l.184 \sist{1.\; \;v1_{A} = v\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.189 } \forall \l\in F,\;\forall a,b\in A,\;\;\forall v,w\in V I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.190 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no A in font nullfont! Missing character: There is no V in font nullfont! ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.193 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.193 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.193 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.193 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment exemp undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.194 \begin{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (32.83087pt too wide) in paragraph at lines 184--195 $ \OML/cmm/m/it/10 v\/cmr/m/n/10 1[] = [] Overfull \hbox (5.20601pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 v[] [] Overfull \hbox (30.20593pt too wide) in paragraph at lines 184--195 \/cmr/m/n/10 2\OML/cmm/m/it/10 : \/cmr/m/n/10 (\OML/cmm/m/it/10 v \/cmr/m/n/10 + [] Overfull \hbox (27.15855pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 w\/cmr/m/n/10 )\OML/cmm/m/it/10 a \/cmr/m/n/10 = [] Overfull \hbox (18.2697pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 va \/cmr/m/n/10 + [] Overfull \hbox (12.71414pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 wa[] [] Overfull \hbox (46.45009pt too wide) in paragraph at lines 184--195 \/cmr/m/n/10 3\OML/cmm/m/it/10 : \/cmr/m/n/10 (\OML/cmm/m/it/10 va\/cmr/m/n/10 )\OML/cmm/m/it/10 b \/cmr/m/n/10 = [] Overfull \hbox (22.56136pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 v\/cmr/m/n/10 (\OML/cmm/m/it/10 ab\/cmr/m/n/10 )[] [] Overfull \hbox (35.49182pt too wide) in paragraph at lines 184--195 \/cmr/m/n/10 4\OML/cmm/m/it/10 : v\/cmr/m/n/10 (\OML/cmm/m/it/10 a \/cmr/m/n/1 0 + [] Overfull \hbox (18.73607pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 b\/cmr/m/n/10 ) = [] Overfull \hbox (18.2697pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 va \/cmr/m/n/10 + [] Overfull \hbox (9.49767pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 vb[] [] Overfull \hbox (47.99179pt too wide) in paragraph at lines 184--195 \/cmr/m/n/10 5\OML/cmm/m/it/10 : \/cmr/m/n/10 (\OML/cmm/m/it/10 ^^Uv\/cmr/m/n/ 10 )\OML/cmm/m/it/10 a \/cmr/m/n/10 = [] Overfull \hbox (34.65857pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 v\/cmr/m/n/10 (\OML/cmm/m/it/10 ^^Ua\/cmr/m/n/10 ) = [] Overfull \hbox (44.93639pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 ^^U\/cmr/m/n/10 (\OML/cmm/m/it/10 va\/cmr/m/n/10 )\OMS/cmsy/m/ n/10 8\OML/cmm/m/it/10 ^^U \OMS/cmsy/m/n/10 2 [] Overfull \hbox (42.95238pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 F; \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 a; b \OMS/cmsy/m/n/10 2 [] Overfull \hbox (49.57849pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 A; \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 v; w \OMS/cmsy/m/n/10 2 [] Overfull \hbox (408.89548pt too wide) in paragraph at lines 184--195 \OML/cmm/m/it/10 VInpratica; sipuo[]pensare$$comeunparticolareinsiemediscalarip er$$\/cmr/m/n/10 (\OML/cmm/m/it/10 moltiplicatipero[]adestra\/cmr/m/n/10 )\OML/ cmm/m/it/10 :$ [] ! Undefined control sequence. l.196 \item $A=\mat (n,F)$, $V=F^n$ e' un $A$-modulo con l'usuale The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \@footnotetext ...tins {\reset@font \footnotesize \interlinepenalty \interfo... l.199 a$, con $a\in A$} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. \@footnotetext ...}\color@begingroup \@makefntext {\rule \z@ \footnotesep \i... l.199 a$, con $a\in A$} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. LaTeX Warning: Command \. invalid in math mode on input line 199. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.199 a$, con $a\in A$} I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.199 a$, con $a\in A$} Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no è in font cmex10! Overfull \hbox (7.7778pt too wide) in paragraph at lines 199--199 [][]\/cmr/m/n/10 la [] Overfull \hbox (26.11118pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 molti- [] Overfull \hbox (14.44447pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 pli- [] Overfull \hbox (31.66672pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 cazione [] Overfull \hbox (7.22223pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 e' [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 a [] Overfull \hbox (13.33334pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 de- [] Overfull \hbox (19.52782pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 stra: [] Overfull \hbox (13.26968pt too wide) in paragraph at lines 199--199 \OML/cmm/m/it/10 v[]$\/cmr/m/n/10 , [] Overfull \hbox (15.00003pt too wide) in paragraph at lines 199--199 \/cmr/m/n/10 con [] Overfull \hbox (14.73029pt too wide) in paragraph at lines 199--199 \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 199--199 \OML/cmm/m/it/10 A$| [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 196--200 \OML/cmm/m/it/10 A \/cmr/m/n/10 = [] Overfull \hbox (26.04402pt too wide) in paragraph at lines 196--200 \/cmr/m/n/10 (\OML/cmm/m/it/10 n; F\/cmr/m/n/10 )$ [] Overfull \hbox (18.61107pt too wide) in paragraph at lines 196--200 \OML/cmm/m/it/10 V \/cmr/m/n/10 = [] Overfull \hbox (13.26279pt too wide) in paragraph at lines 196--200 \OML/cmm/m/it/10 F[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 196--200 \OML/cmm/m/it/10 A$ [] Overfull \hbox (4.48613pt too wide) in paragraph at lines 196--200 [] [] Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no Q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no - in font nullfont! ! Undefined control sequence. l.201 l'$A$-\iemph {modulo regolare}, e si indica con $A^\o$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! Missing { inserted. \begingroup l.201 ...h{modulo regolare}, e si indica con $A^\o $ A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) LaTeX Warning: Command \o invalid in math mode on input line 201. LaTeX Warning: Command \o invalid in math mode on input line 201. ! Missing } inserted. } l.201 ...{modulo regolare}, e si indica con $A^\o$ I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Overfull \hbox (7.50002pt too wide) in paragraph at lines 200--202 \OML/cmm/m/it/10 A$ [] Overfull \hbox (18.61107pt too wide) in paragraph at lines 200--202 \OML/cmm/m/it/10 V \/cmr/m/n/10 = [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 200--202 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 200--202 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 200--202 \OML/cmm/m/it/10 A$ [] Overfull \hbox (11.98615pt too wide) in paragraph at lines 200--202 \OML/cmm/m/it/10 A[]$ [] ! LaTeX Error: \begin{document} ended by \end{exemp}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.203 \end{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.204 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.206 \eal {&W \T{e' un sotto $A$-modulo di $V$} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.206 \eal{& W \T{e' un sotto $A$-modulo di $V$} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no W in font nullfont! ! Undefined control sequence. l.206 \eal{&W \T {e' un sotto $A$-modulo di $V$} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! ! Undefined control sequence. l.207 \definizione {\=} wa\in W\;\;\forall w\in W\;\forall a\in A The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.207 \definizione{\=} wa\in W\;\;\forall w\in W\;\forall a\in A I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. Overfull \hbox (8.05556pt too wide) in paragraph at lines 205--207 $\OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 205--207 \OML/cmm/m/it/10 A$ [] Overfull \hbox (21.38885pt too wide) in paragraph at lines 205--207 \OML/cmm/m/it/10 W \OMS/cmsy/m/n/10 ^^T [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 205--207 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 205--207 \OML/cmm/m/it/10 A$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 205--207 \OML/cmm/m/it/10 V$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 205--207 \/cmr/m/n/10 ^^V [] Missing character: There is no w in font nullfont! Missing character: There is no a in font nullfont! ! Missing $ inserted. $ l.207 \definizione{\=} wa\in W\;\;\forall w\in W\;\forall a\in A I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.208 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no W in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no V in font nullfont! ! Undefined control sequence. l.211 \eal {&W \leA V} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.211 \eal{& W \leA V} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.211 \eal{&W \leA V} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.212 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.212 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.212 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment exemp undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.213 \begin{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no I in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! ! Missing { inserted. \begingroup l.215 I sottomoduli di $A^\o $ sono gli ideali destri. A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) LaTeX Warning: Command \o invalid in math mode on input line 215. LaTeX Warning: Command \o invalid in math mode on input line 215. ! Missing } inserted. } l.215 I sottomoduli di $A^\o$ sono gli ideali destri. I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{exemp}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.216 \end{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.217 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.220 \eal {&V/ W \T{ e' un $A$-modulo con l'operazione } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.220 \eal{& V/ W \T{ e' un $A$-modulo con l'operazione } I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no V in font nullfont! Missing character: There is no / in font nullfont! Missing character: There is no W in font nullfont! ! Undefined control sequence. l.220 \eal{&V/ W \T { e' un $A$-modulo con l'operazione } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no W in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no W in font nullfont! ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.223 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment exemp undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.224 \begin{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no D in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.226 \eal {&vA =\pgra{va\;|\;a\in A}\T{ e' un $A$-sottomodulo }} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.226 \eal{& vA =\pgra{va\;|\;a\in A}\T{ e' un $A$-sottomodulo }} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no v in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no = in font nullfont! ! Undefined control sequence. l.226 \eal{&vA =\pgra {va\;|\;a\in A}\T{ e' un $A$-sottomodulo }} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! ! Missing $ inserted. $ l.226 \eal{&vA =\pgra{va\; |\;a\in A}\T{ e' un $A$-sottomodulo }} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.226 \eal{&vA =\pgra{va\;|\;a\in A} \T{ e' un $A$-sottomodulo }} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.226 \eal{&vA =\pgra{va\;|\;a\in A}\T { e' un $A$-sottomodulo }} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.226 \eal{&vA =\pgra{va\;|\;a\in A}\T{ e' un $ A$-sottomodulo }} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no A in font nullfont! ! Extra }, or forgotten $. l.226 ...va\;|\;a\in A}\T{ e' un $A$-sottomodulo } } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.226 ...a\;|\;a\in A}\T{ e' un $A$-sottomodulo }} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.228 \eal {&v_1A+\dots+v_sA\T{ e' un $A$-sottomodulo} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.228 \eal{& v_1A+\dots+v_sA\T{ e' un $A$-sottomodulo} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.228 \eal{&v_1A+\dots+v_sA\T { e' un $A$-sottomodulo} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.228 \eal{&v_1A+\dots+v_sA\T{ e' un $ A$-sottomodulo} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.228 \eal{&v_1A+\dots+v_sA\T{ e' un $ A$-sottomodulo} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no A in font nullfont! ! Extra }, or forgotten $. l.228 ...v_1A+\dots+v_sA\T{ e' un $A$-sottomodulo} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.229 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{exemp}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.230 \end{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.230 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.230 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.230 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment exemp undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.232 \begin{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.234 \eal {&\r:A\longrightarrow \End_F(V)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.234 \eal{& \r:A\longrightarrow \End_F(V)\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Missing $ inserted. $ l.234 \eal{&\r :A\longrightarrow \End_F(V)\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \r ->{\rho } l.234 \eal{&\r :A\longrightarrow \End_F(V)\\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.234 \eal{&\r:A\longrightarrow \End _F(V)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.235 & a \mapsto \r_a\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. & l.236 & \T{dove } \r_a:V\longrightarrow V\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.236 &\T {dove } \r_a:V\longrightarrow V\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.237 & \qq v \mapsto va I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.237 &\qq v \mapsto va The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.238 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{exemp}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.240 \end{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.240 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.240 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.240 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.241 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.243 \eal {&\ann_A(V)\definizione{=}\pgra{a\in A\;|\;Va=0}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.243 \eal{& \ann_A(V)\definizione{=}\pgra{a\in A\;|\;Va=0}} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.243 \eal{&\ann _A(V)\definizione{=}\pgra{a\in A\;|\;Va=0}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.243 \eal{&\ann_ A(V)\definizione{=}\pgra{a\in A\;|\;Va=0}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.243 \eal{&\ann_A(V)\definizione {=}\pgra{a\in A\;|\;Va=0}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.243 \eal{&\ann_A(V)\definizione{=}\pgra {a\in A\;|\;Va=0}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.243 ...(V)\definizione{=}\pgra{a\in A\;|\;Va=0}} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.244 $\ann _A(V)$ e' l'\iemph{annullatore} di $V$ in $A$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.244 $\ann_ A(V)$ e' l'\iemph{annullatore} di $V$ in $A$. I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! ! Undefined control sequence. l.244 $\ann_A(V)$ e' l'\iemph {annullatore} di $V$ in $A$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.245 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } l.245 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.246 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.247 \eal {&\ann_A(V)\tleq A The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.247 \eal{& \ann_A(V)\tleq A I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.247 \eal{&\ann _A(V)\tleq A The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.247 \eal{&\ann_ A(V)\tleq A I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.247 \eal{&\ann_A(V)\tleq A The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.248 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.249 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.249 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.249 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.250 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.251 \ilabel {modulo!semplice} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. l.253 \eal {& The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.253 \eal{& I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no V in font nullfont! ! Undefined control sequence. l.254 V\T { e' semplice }\definizione{\=} \T{ gli unici sottomoduli di $V$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.254 V\T{ e' semplice }\definizione {\=} \T{ gli unici sottomoduli di $V$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Argument of \UseTextAccent has an extra }. \par l.254 V\T{ e' semplice }\definizione{\=} \T{ gli unici sottomoduli di $V$ I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. Overfull \hbox (26.66669pt too wide) in paragraph at lines 207--254 []$\OMS/cmsy/m/n/10 2 [] Overfull \hbox (38.81699pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 W \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 w \OMS/cmsy/m/n/10 2 [] Overfull \hbox (33.89691pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 W \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (301.53595pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 APerindicareche$$e[]un$$\OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 s ottomodulodi$$useremolaseguentenotazione \/cmr/m/n/10 : [] Overfull \hbox (18.8889pt too wide) in paragraph at lines 207--254 []$ [] Overfull \hbox (11.98615pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A$ [] Overfull \hbox (10.83334pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 W$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A$ [] Overfull \hbox (14.6504pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 v \OMS/cmsy/m/n/10 2 [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V$ [] Overfull \hbox (20.28578pt too wide) in paragraph at lines 207--254 \OMS/cmsy/m/n/10 j \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (291.83572pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A[]$$\OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 sottomoduloeingenera le[]$$\OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 sottomodulo$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A$ [] Overfull \hbox (10.72565pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 ^^Z \/cmr/m/n/10 : [] Overfull \hbox (33.03687pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A [][]\OMS/cmsy/m/n/10 ![] [] Overfull \hbox (15.83336pt too wide) in paragraph at lines 207--254 \/cmr/m/n/10 (\OML/cmm/m/it/10 V\/cmr/m/n/10 )[] [] Overfull \hbox (18.06361pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 7! [] Overfull \hbox (10.0078pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 ^^Z[][] [] Overfull \hbox (35.47766pt too wide) in paragraph at lines 207--254 []\OML/cmm/m/it/10 ^^Z[] \/cmr/m/n/10 : [] Overfull \hbox (26.94446pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V[] [] Overfull \hbox (17.98373pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 v \OMS/cmsy/m/n/10 7! [] Overfull \hbox (75.36244pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 vae[]unaalgebra \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (67.40137pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 omomorfismo:$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A$ [] Overfull \hbox (117.48825pt too wide) in paragraph at lines 207--254 []\/cmr/m/n/10 (\OML/cmm/m/it/10 V\/cmr/m/n/10 )[][]$$[](\OML/cmm/m/it/10 V\/cm r/m/n/10 )$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A$ [] Overfull \hbox (29.84729pt too wide) in paragraph at lines 207--254 []\/cmr/m/n/10 (\OML/cmm/m/it/10 V\/cmr/m/n/10 )\OML/cmm/m/it/10 A$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 207--254 \OML/cmm/m/it/10 A$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 207--254 \/cmr/m/n/10 ^^V [] ! Undefined control sequence. l.254 V\T{ e' semplice }\definizione{\=} \T { gli unici sottomoduli di $V$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.256 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment thm undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.257 \begin{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.258 Sia $A=\mat (n,F)$, $V=F^n$ $A$-mod con l'usuale moltiplicazione tra The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.260 \eal {&V\T{ e' semplice }} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.260 \eal{& V\T{ e' semplice }} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no V in font nullfont! ! Undefined control sequence. l.260 \eal{&V\T { e' semplice }} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! ! LaTeX Error: \begin{document} ended by \end{thm}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.261 \end{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment defn undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.262 \begin{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.263 \ilabel {A-omomorfismo} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no A in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! ! Undefined control sequence. l.265 \eal {&f:V\longrightarrow W\T{ e' un A-omomorfismo } \definizione{\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.265 \eal{& f:V\longrightarrow W\T{ e' un A-omomorfismo } \definizione{\=} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no f in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no V in font nullfont! ! Missing $ inserted. $ l.265 \eal{&f:V\longrightarrow W\T{ e' un A-omomorfismo } \definizione{\=} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.265 \eal{&f:V\longrightarrow W\T { e' un A-omomorfismo } \definizione{\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.265 ...w W\T{ e' un A-omomorfismo } \definizione {\=} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. LaTeX Warning: Command \= invalid in math mode on input line 265. ! Argument of \UseTextAccent has an extra }. \par l.265 ...T{ e' un A-omomorfismo } \definizione{\=} I've run across a `}' that doesn't seem to match anything. For example, `\def\a#1{...}' and `\a}' would produce this error. If you simply proceed now, the `\par' that I've just inserted will cause me to report a runaway argument that might be the root of the problem. But if your `}' was spurious, just type `2' and it will go away. LaTeX Warning: Command \= invalid in math mode on input line 265. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.265 ...T{ e' un A-omomorfismo } \definizione{\=} I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! Missing { inserted. \edef l.265 ...T{ e' un A-omomorfismo } \definizione{\=} A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.265 ...T{ e' un A-omomorfismo } \definizione{\=} Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! Missing $ inserted. $ l.265 ...T{ e' un A-omomorfismo } \definizione{\=} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Missing } inserted. } l.265 ...T{ e' un A-omomorfismo } \definizione{\=} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.265 ...T{ e' un A-omomorfismo } \definizione{\=} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no è in font cmex10! Overfull \hbox (8.05556pt too wide) in paragraph at lines 254--265 $\OML/cmm/m/it/10 V$ [] Overfull \hbox (17.49998pt too wide) in paragraph at lines 254--265 \/cmr/m/n/10 0\OML/cmm/m/it/10 ; V$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 254--265 \OML/cmm/m/it/10 A \/cmr/m/n/10 = [] Overfull \hbox (26.04402pt too wide) in paragraph at lines 254--265 \/cmr/m/n/10 (\OML/cmm/m/it/10 n; F\/cmr/m/n/10 )$ [] Overfull \hbox (18.61107pt too wide) in paragraph at lines 254--265 \OML/cmm/m/it/10 V \/cmr/m/n/10 = [] Overfull \hbox (13.26279pt too wide) in paragraph at lines 254--265 \OML/cmm/m/it/10 F[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 254--265 \OML/cmm/m/it/10 A$ [] Overfull \hbox (21.66664pt too wide) in paragraph at lines 254--265 \OML/cmm/m/it/10 V; W$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 254--265 \OML/cmm/m/it/10 A$ [] Overfull \hbox (16.11119pt too wide) in paragraph at lines 254--265 [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (114.36783pt too wide) in paragraph at lines 254--265 \OML/cmm/m/it/10 W[][]$ [] ! Undefined control sequence. l.266 \sist {1.\;\;f\T{ e' lineare}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! ! Missing $ inserted. $ l.266 \sist{1.\; \;f\T{ e' lineare}\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.266 \sist{1.\;\;f\T { e' lineare}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.268 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.269 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no f in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no A in font nullfont! ! Undefined control sequence. l.271 \eal {&V\simeqA W} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.271 \eal{& V\simeqA W} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.271 \eal{&V\simeqA W} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{defn}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.272 \end{defn} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.272 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.272 \end{defn} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.273 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no . in font nullfont! ! Undefined control sequence. l.276 \eal {&\ker f \T{ e' un sottomodulo di $V$}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.276 \eal{& \ker f \T{ e' un sottomodulo di $V$}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Missing $ inserted. $ l.276 \eal{&\ker f \T{ e' un sottomodulo di $V$}\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.276 \eal{&\ker f \T { e' un sottomodulo di $V$}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.276 \eal{&\ker f \T{ e' un sottomodulo di $ V$}\\ I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no V in font nullfont! ! Extra }, or forgotten $. } l.276 \eal{&\ker f \T{ e' un sottomodulo di $V$} \\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Misplaced alignment tab character &. & l.277 & f(V) \T{ e' un sottomodulo di $W$} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.277 & f(V) \T { e' un sottomodulo di $W$} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.277 & f(V) \T{ e' un sottomodulo di $ W$} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no W in font nullfont! ! Extra }, or forgotten $. } l.277 & f(V) \T{ e' un sottomodulo di $W$} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.278 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.279 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.279 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.279 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment exemp undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.280 \begin{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no I in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (51.00534pt too wide) in paragraph at lines 266--283 $ \OML/cmm/m/it/10 f[][] [] Overfull \hbox (48.13069pt too wide) in paragraph at lines 266--283 \/cmr/m/n/10 2\OML/cmm/m/it/10 : f\/cmr/m/n/10 (\OML/cmm/m/it/10 va\/cmr/m/n/1 0 ) = [] Overfull \hbox (50.00336pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 f\/cmr/m/n/10 (\OML/cmm/m/it/10 v\/cmr/m/n/10 )\OML/cmm/m/it/1 0 a \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 v \OMS/cmsy/m/n/10 2 [] Overfull \hbox (33.89687pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 V; \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (257.28352pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 ASe$$e[]biettiva; diremoche$$e[]un$$\OMS/cmsy/m/n/10 ^^@\OML/c mm/m/it/10 isomorfismoescriveremo \/cmr/m/n/10 : [] Overfull \hbox (18.8889pt too wide) in paragraph at lines 266--283 []$ [] Overfull \hbox (11.52776pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 f \/cmr/m/n/10 : [] Overfull \hbox (26.94446pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 V [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (10.83334pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 W$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 A$ [] Overfull \hbox (103.02756pt too wide) in paragraph at lines 266--283 [] \OML/cmm/m/it/10 f[]$$[] [] Overfull \hbox (103.83316pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 f\/cmr/m/n/10 (\OML/cmm/m/it/10 V\/cmr/m/n/10 )[]$$$ [] Overfull \hbox (10.83334pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 W$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 A$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 266--283 \OML/cmm/m/it/10 A$ [] ! Undefined control sequence. l.284 \item $i:W\longrightarrow V$ \T { inclusione } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Overfull \hbox (9.00063pt too wide) in paragraph at lines 284--285 \OML/cmm/m/it/10 i \/cmr/m/n/10 : [] Overfull \hbox (29.72224pt too wide) in paragraph at lines 284--285 \OML/cmm/m/it/10 W [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 284--285 \OML/cmm/m/it/10 V$ [] ! Undefined control sequence. l.285 \item $\pi:V\longrightarrow V/W$ \T { surriez. naturale } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Overfull \hbox (11.61455pt too wide) in paragraph at lines 285--286 \OML/cmm/m/it/10 ^^Y \/cmr/m/n/10 : [] Overfull \hbox (26.94446pt too wide) in paragraph at lines 285--286 \OML/cmm/m/it/10 V [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (22.77779pt too wide) in paragraph at lines 285--286 \OML/cmm/m/it/10 V=W$ [] Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.288 \eal {&\pi_U:V\longrightarrow U\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.288 \eal{& \pi_U:V\longrightarrow U\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Missing $ inserted. $ l.288 \eal{&\pi _U:V\longrightarrow U\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Misplaced alignment tab character &. & l.289 & v=u+v \mapsto u } I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Extra }, or forgotten $. l.289 &v=u+v \mapsto u } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no A in font nullfont! ! LaTeX Error: \begin{document} ended by \end{exemp}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.291 \end{exemp} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.291 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.291 \end{exemp} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.292 \begin{prop} \label{stessoannullatore} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.293 \eal {&V\simeqA W\>\ann_A(V)=\ann_A(W)} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.293 \eal{& V\simeqA W\>\ann_A(V)=\ann_A(W)} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no V in font nullfont! ! Undefined control sequence. l.293 \eal{&V\simeqA W\>\ann_A(V)=\ann_A(W)} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no W in font nullfont! ! Missing $ inserted. $ l.293 \eal{&V\simeqA W\> \ann_A(V)=\ann_A(W)} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.293 \eal{&V\simeqA W\>\ann _A(V)=\ann_A(W)} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.293 \eal{&V\simeqA W\>\ann_A(V)=\ann _A(W)} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.293 \eal{&V\simeqA W\>\ann_A(V)=\ann_A(W)} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.295 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.295 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.295 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.296 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no . in font nullfont! ! Undefined control sequence. l.298 \eal {&\Hom_A(V,W) \definizione{=} \pgra{f:V\longrightarrow W \;|\; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.298 \eal{& \Hom_A(V,W) \definizione{=} \pgra{f:V\longrightarrow W \;|\; I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.298 \eal{&\Hom _A(V,W) \definizione{=} \pgra{f:V\longrightarrow W \;|\; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.298 \eal{&\Hom_ A(V,W) \definizione{=} \pgra{f:V\longrightarrow W \;|\; I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.298 \eal{&\Hom_A(V,W) \definizione {=} \pgra{f:V\longrightarrow W \;|\; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.298 \eal{&\Hom_A(V,W) \definizione{=} \pgra {f:V\longrightarrow W \;|\; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.299 f\T { $A$-omo}} \T{ e' uno spazio vettoriale}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.299 f\T{ $ A$-omo}} \T{ e' uno spazio vettoriale}\\ I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.299 f\T{ $ A$-omo}} \T{ e' uno spazio vettoriale}\\ I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no A in font nullfont! ! Extra }, or forgotten $. l.299 f\T{ $A$-omo} } \T{ e' uno spazio vettoriale}\\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.299 f\T{ $A$-omo}} \T{ e' uno spazio vettoriale}\\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.299 f\T{ $A$-omo}} \T { e' uno spazio vettoriale}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.300 & \End_A(V)\definizione{=} \Hom_A(V,V) \ubrace{\SA}{\T{sotto algebra}}... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.300 &\End _A(V)\definizione{=} \Hom_A(V,V) \ubrace{\SA}{\T{sotto algebra}}... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.300 &\End_A(V)\definizione {=} \Hom_A(V,V) \ubrace{\SA}{\T{sotto algebra}}... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.300 &\End_A(V)\definizione{=} \Hom _A(V,V) \ubrace{\SA}{\T{sotto algebra}}... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.300 ...d_A(V)\definizione{=} \Hom_A(V,V) \ubrace {\SA}{\T{sotto algebra}} \... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.300 ...V)\definizione{=} \Hom_A(V,V) \ubrace{\SA }{\T{sotto algebra}} \End_... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.300 ...efinizione{=} \Hom_A(V,V) \ubrace{\SA}{\T {sotto algebra}} \End_F(V) The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.300 ...V,V) \ubrace{\SA}{\T{sotto algebra}} \End _F(V) The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.301 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.302 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.302 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.302 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment thm undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.303 \begin{thm} di Schur. Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no . in font nullfont! ! Undefined control sequence. l.305 \ilabel {Schur, teorema di} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no S in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no . in font nullfont! ! Undefined control sequence. l.307 \eal {& The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.307 \eal{& I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.308 \sist {f:V\longrightarrow W\T{ $A$-omo}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no f in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no V in font nullfont! ! Missing $ inserted. $ l.308 \sist{f:V\longrightarrow W\T{ $A$-omo}\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.308 \sist{f:V\longrightarrow W\T { $A$-omo}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.308 \sist{f:V\longrightarrow W\T{ $ A$-omo}\\ I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no A in font nullfont! ! Extra }, or forgotten $. l.308 \sist{f:V\longrightarrow W\T{ $A$-omo} \\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.309 V,W\T { semplici}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.310 \Im f \neq \pgra {0}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.310 \Im f \neq \pgra{0}} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.311 \> f\T { e' un $A$-isomorfismo } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing } inserted. } l.311 \> f\T{ e' un $ A$-isomorfismo } I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no A in font nullfont! ! Extra }, or forgotten $. l.311 \> f\T{ e' un $A$-isomorfismo } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Extra }, or forgotten $. l.312 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{thm}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.313 \end{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.313 \end{thm} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.313 \end{thm} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.313 \end{thm} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment cor undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.314 \begin{cor} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.317 \eal {&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.317 \eal{& f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no f in font nullfont! ! Missing $ inserted. $ l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.317 \eal{&f\in \End _A(V) \=\exists \l\in F:\;\; f=\lambda \id_V The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. LaTeX Warning: Command \= invalid in math mode on input line 317. LaTeX Warning: Command \= invalid in math mode on input line 317. ! Missing $ inserted. $ l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Improper \spacefactor. \spacefactor l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V You can refer to \spacefactor only in horizontal mode; you can refer to \prevdepth only in vertical mode; and neither of these is meaningful inside \write. So I'm forgetting what you said and using zero instead. ! Extra }, or forgotten $. \add@accent ... \accent@spacefactor \spacefactor } \accent #1 #2\egroup \spac... l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! Missing { inserted. \edef l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! Extra }, or forgotten $. \UseTextAccent ...se@text@encoding \@curr@enc #3}} l.317 \eal{&f\in \End_A(V) \=\exists \l\in F:\;\; f=\lambda \id_V I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Undefined control sequence. l.317 ...A(V) \=\exists \l\in F:\;\; f=\lambda \id _V The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.318 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! LaTeX Error: \begin{document} ended by \end{cor}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.319 \end{cor} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.319 \end{cor} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.319 \end{cor} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.319 \end{cor} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.319 \end{cor} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ l.319 \end{cor} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.319 \end{cor} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.320 \begin{prop} \label{esistesubmodsemplice} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.321 \eal {&V\T{ $A$-modulo, $V \neq 0$} \> \exists W \leA V\T{ semplice}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.321 \eal{& V\T{ $A$-modulo, $V \neq 0$} \> \exists W \leA V\T{ semplice}} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no V in font nullfont! ! Undefined control sequence. l.321 \eal{&V\T { $A$-modulo, $V \neq 0$} \> \exists W \leA V\T{ semplice}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no , in font nullfont! ! Missing $ inserted. $ l.321 \eal{&V\T{ $A$-modulo, $V \neq 0$} \> \exists W \leA V\T{ semplice}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.321 ...$A$-modulo, $V \neq 0$} \> \exists W \leA V\T{ semplice}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.321 ...modulo, $V \neq 0$} \> \exists W \leA V\T { semplice}} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Extra }, or forgotten $. l.321 ...neq 0$} \> \exists W \leA V\T{ semplice}} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Missing character: There is no A in font nullfont! ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.324 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.324 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.324 \end{prop} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.325 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. \pgra l.328 ...ttoriale finitamente generato. Sia $\pgra {U_i}_{i\in I}$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no : in font nullfont! ! Undefined control sequence. l.330 \eal {&\sum_{i\in I} U_i \definizione{=} \pgra{\sum_{j\in J} u_j\;|\;J... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.330 \eal{& \sum_{i\in I} U_i \definizione{=} \pgra{\sum_{j\in J} u_j\;|\;J... (That makes 100 errors; please try again.) Here is how much of TeX's memory you used: 45 strings out of 95086 415 string characters out of 1183255 52034 words of memory out of 1500000 3314 multiletter control sequences out of 10000+50000 3640 words of font info for 14 fonts, out of 1200000 for 2000 28 hyphenation exceptions out of 8191 18i,9n,16p,156b,170s stack positions out of 5000i,500n,6000p,200000b,5000s ! ==> Fatal error occurred, no output PDF file produced!