Restklassenringe (Z)/2357/Operationstafeln

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

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

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

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

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

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

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

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

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

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

${\displaystyle {}+}$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$
${\displaystyle {}0}$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$
${\displaystyle {}1}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$	${\displaystyle {}0}$
${\displaystyle {}2}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$	${\displaystyle {}0}$	${\displaystyle {}1}$
${\displaystyle {}3}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$
${\displaystyle {}4}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$
${\displaystyle {}5}$	${\displaystyle {}5}$	${\displaystyle {}6}$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$
${\displaystyle {}6}$	${\displaystyle {}6}$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$

${\displaystyle {}\cdot }$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$
${\displaystyle {}0}$	${\displaystyle {}0}$	${\displaystyle {}0}$	${\displaystyle {}0}$	${\displaystyle {}0}$	${\displaystyle {}0}$	${\displaystyle {}0}$	${\displaystyle {}0}$
${\displaystyle {}1}$	${\displaystyle {}0}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$
${\displaystyle {}2}$	${\displaystyle {}0}$	${\displaystyle {}2}$	${\displaystyle {}4}$	${\displaystyle {}6}$	${\displaystyle {}1}$	${\displaystyle {}3}$	${\displaystyle {}5}$
${\displaystyle {}3}$	${\displaystyle {}0}$	${\displaystyle {}3}$	${\displaystyle {}6}$	${\displaystyle {}2}$	${\displaystyle {}5}$	${\displaystyle {}1}$	${\displaystyle {}4}$
${\displaystyle {}4}$	${\displaystyle {}0}$	${\displaystyle {}4}$	${\displaystyle {}1}$	${\displaystyle {}5}$	${\displaystyle {}2}$	${\displaystyle {}6}$	${\displaystyle {}3}$
${\displaystyle {}5}$	${\displaystyle {}0}$	${\displaystyle {}5}$	${\displaystyle {}3}$	${\displaystyle {}1}$	${\displaystyle {}6}$	${\displaystyle {}4}$	${\displaystyle {}2}$
${\displaystyle {}6}$	${\displaystyle {}0}$	${\displaystyle {}6}$	${\displaystyle {}5}$	${\displaystyle {}4}$	${\displaystyle {}3}$	${\displaystyle {}2}$	${\displaystyle {}1}$