Restklassenringe (Z)/2357/Operationstafeln

Inhaltsverzeichnis

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

${}+$	${}0$	${}1$
${}0$	${}0$	${}1$
${}1$	${}1$	${}0$

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

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

{\begin{array}{c||c|c|c|}+&0&1&2\\\hline 0&0&1&2\\1&1&2&0\\2&2&0&1\\\end{array}}

{\begin{array}{c||c|c|c|}\cdot &0&1&2\\\hline 0&0&0&0\\1&0&1&2\\2&0&2&1\\\end{array}}

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

{\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}}

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

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

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

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