Restklassenringe (Z)/mod 9/Operationstafeln

Der Restklassenring $\mathbb{Z}/(9)=\{0,1,2,3,4,5,6,7,8\}$ hat die folgenden Verknüpfungstabellen:

$\begin{array}{cccccccccc}+& 0& 1& 2& 3& 4& 5& 6& 7& 8\\ 0& 0& 1& 2& 3& 4& 5& 6& 7& 8\\ 1& 1& 2& 3& 4& 5& 6& 7& 8& 0\\ 2& 2& 3& 4& 5& 6& 7& 8& 0& 1\\ 3& 3& 4& 5& 6& 7& 8& 0& 1& 2\\ 4& 4& 5& 6& 7& 8& 0& 1& 2& 3\\ 5& 5& 6& 7& 8& 0& 1& 2& 3& 4\\ 6& 6& 7& 8& 0& 1& 2& 3& 4& 5\\ 7& 7& 8& 0& 1& 2& 3& 4& 5& 6\\ 8& 8& 0& 1& 2& 3& 4& 5& 6& 7\end{array}$

$\begin{array}{cccccccccc}*& 0& 1& 2& 3& 4& 5& 6& 7& 8\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 1& 0& 1& 2& 3& 4& 5& 6& 7& 8\\ 2& 0& 2& 4& 6& 8& 1& 3& 5& 7\\ 3& 0& 3& 6& 0& 3& 6& 0& 3& 6\\ 4& 0& 4& 8& 3& 7& 2& 6& 1& 5\\ 5& 0& 5& 1& 6& 2& 7& 3& 8& 4\\ 6& 0& 6& 3& 0& 6& 3& 0& 6& 3\\ 7& 0& 7& 5& 3& 1& 8& 6& 4& 2\\ 8& 0& 8& 7& 6& 5& 4& 3& 2& 1\end{array}$