# Restklassenringe (Z)/mod 3/Operationstafeln

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

${\displaystyle {}+}$ ${\displaystyle {}0}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$
${\displaystyle {}0}$ ${\displaystyle {}0}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$
${\displaystyle {}1}$ ${\displaystyle {}1}$ ${\displaystyle {}2}$ ${\displaystyle {}0}$
${\displaystyle {}2}$ ${\displaystyle {}2}$ ${\displaystyle {}0}$ ${\displaystyle {}1}$

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