Restklassenringe (Z)/mod 10/Operationstafeln

Der Restklassenring $\mathbb{Z}/(10)=\{0,1,2,3,4,5,6,7,8,9\}$ hat die folgenden Verknüpfungstabellen:

$\begin{array}{ccccccccccc}+& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9\\ 0& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9\\ 1& 1& 2& 3& 4& 5& 6& 7& 8& 9& 0\\ 2& 2& 3& 4& 5& 6& 7& 8& 9& 0& 1\\ 3& 3& 4& 5& 6& 7& 8& 9& 0& 1& 2\\ 4& 4& 5& 6& 7& 8& 9& 0& 1& 2& 3\\ 5& 5& 6& 7& 8& 9& 0& 1& 2& 3& 4\\ 6& 6& 7& 8& 9& 0& 1& 2& 3& 4& 5\\ 7& 7& 8& 9& 0& 1& 2& 3& 4& 5& 6\\ 8& 8& 9& 0& 1& 2& 3& 4& 5& 6& 7\\ 9& 9& 0& 1& 2& 3& 4& 5& 6& 7& 8\end{array}$

$\begin{array}{ccccccccccc}*& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 1& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9\\ 2& 0& 2& 4& 6& 8& 0& 2& 4& 6& 8\\ 3& 0& 3& 6& 9& 2& 5& 8& 1& 4& 7\\ 4& 0& 4& 8& 2& 6& 0& 4& 8& 2& 6\\ 5& 0& 5& 0& 5& 0& 5& 0& 5& 0& 5\\ 6& 0& 6& 2& 8& 4& 0& 6& 2& 8& 4\\ 7& 0& 7& 4& 1& 8& 5& 2& 9& 6& 3\\ 8& 0& 8& 6& 4& 2& 0& 8& 6& 4& 2\\ 9& 0& 9& 8& 7& 6& 5& 4& 3& 2& 1\end{array}$