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\textbf{Bemerkung.} Wir haben hier den Satz $\forall{a\in K:~}a\cdot 0=0$ (siehe \cite[Satz 4.2.2]{sinn2020}) -in Anspruch genommen haben. +in Anspruch genommen. %% SKA 6-5 \let\altsectionname\sectionname @@ -5612,6 +5612,7 @@ Für $x=[2]$ und $y=[3]$ gilt $x,y\neq [0]$ und aber $xy=[2\cdot 3]=[6]=[0]$. &= &\frac{-3+\imageinh}{26}.\\ \end{mathe} \end{algorithm} + \end{enumerate} %% SKA 6-7 @@ -5791,6 +5792,9 @@ $r_{3} = r_{1} - 9\cdot r_{2}$ &$\boxed{1 = \mathbf{10}\cdot a + \mathbf{-49}\cd Also ist \fbox{$\mathbf{x}=\begin{svector}10\\11\\\end{svector}$} die Lösung des LGS in $\intgr/13\intgr$. \end{algorithm} + + ALso ist das LGS innerhalb $\intgr/13\intgr$ lösbar, + aber nicht innerhalb $\intgr/11\intgr$. \end{enumerate} %% SKA 6-8