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Komorphismus oder Isomorphismus #17

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Komorphismus oder Isomorphismus #17

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92cf9a1
tiny fixes and gitignore
dafe123 Mar 4, 2018
c16407a
Change 'Komorphismus' to 'Isomorphismus'
dafe123 Mar 7, 2018
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4 changes: 3 additions & 1 deletion .gitignore
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Expand Up @@ -7,4 +7,6 @@
*.loe
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*.fdb_latexmk
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4 changes: 2 additions & 2 deletions script.tex
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Expand Up @@ -1508,7 +1508,7 @@
\item \(1 \neq 0\)
\item \(0a = a0 = 0\)
\item \(ab = 0 \implies a = 0 \lor b = 0\)\hfill (Nullteilerfreiheit)
\item \(a(-b) -(ab)\) und \((-a)(-b) = ab\)
\item \(a(-b) = -(ab)\) und \((-a)(-b) = ab\)
\item \(x a = \hat{x}a\) und \(a \neq 0 \implies x = \hat{x}\)
\end{enumerate}
\begin{proof}
Expand Down Expand Up @@ -2141,7 +2141,7 @@ \section{Definition und grundlegende Eigenschaften}
für alle \(x, y \in V, \lb \in K\) und wir schreiben \(F \in \Hom_K(V, W)\)

\item Falls \(V = W\), so heißt \(F \in \Hom_K(V, W) = \End_K(V)\) \defemph{Vektorraumendomorphismus}
\item Ein Vektorraum-\defemph{Komorphismus} ist ein bijektiver Vektorraumhomomorphismus. Falls ein solcher Komorphismus von \(V\) nach \(W\) existiert, nennen wir \(W\) und \(V\) isomorph, und schreiben \(V \cong W\)
\item Ein Vektorraum-\defemph{Isomorphismus} ist ein bijektiver Vektorraumhomomorphismus. Falls ein solcher Isomorphismus von \(V\) nach \(W\) existiert, nennen wir \(W\) und \(V\) isomorph, und schreiben \(V \cong W\)
\item \(\Aut_K(V) = \{F \in \End_K(V) : F \text{ bijektiv}\}\) sind die Vektorraum-\defemph{Automorphismen} von \(V\)
\end{enumerate}
\vspace{.1cm}
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