# Restklassenringe (Z)/mod 5/Operationstafeln

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Der Restklassenkörper ${\displaystyle {}\mathbb {Z} /(5)=\{0,1,2,3,4\}}$ hat die folgenden Verknüpfungstabellen:

${\displaystyle {\begin{array}{c||c|c|c|c|c|}+&0&1&2&3&4\\\hline 0&0&1&2&3&4\\1&1&2&3&4&0\\2&2&3&4&0&1\\3&3&4&0&1&2\\4&4&0&1&2&3\\\end{array}}}$

${\displaystyle {}\cdot }$ ${\displaystyle {}0}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$ ${\displaystyle {}3}$ ${\displaystyle {}4}$
${\displaystyle {}0}$ ${\displaystyle {}0}$ ${\displaystyle {}0}$ ${\displaystyle {}0}$ ${\displaystyle {}0}$ ${\displaystyle {}0}$
${\displaystyle {}1}$ ${\displaystyle {}0}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$ ${\displaystyle {}3}$ ${\displaystyle {}4}$
${\displaystyle {}2}$ ${\displaystyle {}0}$ ${\displaystyle {}2}$ ${\displaystyle {}4}$ ${\displaystyle {}1}$ ${\displaystyle {}3}$
${\displaystyle {}3}$ ${\displaystyle {}0}$ ${\displaystyle {}3}$ ${\displaystyle {}1}$ ${\displaystyle {}4}$ ${\displaystyle {}2}$
${\displaystyle {}4}$ ${\displaystyle {}0}$ ${\displaystyle {}4}$ ${\displaystyle {}3}$ ${\displaystyle {}2}$ ${\displaystyle {}1}$