Restklassenringe (Z)/mod 5/Operationstafeln

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

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

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