鐃緒申鐃緒申惘藹� I 鐃緒申鐃緒申 No.11

鐃緒申鐃緒申 11.1 $({\mbox{${\mathbb{Z}}$}}/3{\mbox{${\mathbb{Z}}$}}\times {\mbox{${\mathbb{Z}}$}}/5{\mbox{${\mathbb{Z}}$}})$ 鐃塾醐申鐃緒申鐃緒申鐃銃挙げなわ申鐃緒申鐃緒申

鐃緒申鐃緒申 11.2 $({\mbox{${\mathbb{Z}}$}}/3{\mbox{${\mathbb{Z}}$}}\times {\mbox{${\mathbb{Z}}$}}/5{\mbox{${\mathbb{Z}}$}})^\times$ 鐃塾醐申鐃緒申鐃緒申鐃銃挙げなわ申鐃緒申鐃緒申

鐃緒申鐃緒申 11.3 ${\mbox{${\mathbb{Z}}$}}/15 {\mbox{${\mathbb{Z}}$}}\cong {\mbox{${\mathbb{Z}}$}}/3{\mbox{${\mathbb{Z}}$}}\times {\mbox{${\mathbb{Z}}$}}/5{\mbox{${\mathbb{Z}}$}}$ 鐃叔わ申鐃暑こ鐃夙を示わ申鐃淑わ申鐃緒申鐃緒申

鐃緒申鐃緒申 11.4

鐃緒申澆鐃緒申鐃緒申任鐃緒申鐃緒申鐃緒申鐃緒申鐃緒申箸鐃緒申鐃�

$\displaystyle f:{\mbox{${\mathbb{Z}}$}}/lm{\mbox{${\mathbb{Z}}$}}\to {\mbox{${\... ...{\mbox{${\mathbb{Z}}$}}\times {\mbox{${\mathbb{Z}}$}}/m{\mbox{${\mathbb{Z}}$}}$

鐃緒申

$\displaystyle f([x]_{lm})=([x]_l,[x]_m)$

鐃叔件申鐃暑。鐃緒申鐃塾とわ申鐃緒申

鐃熟わ申鐃殉わ申鐃緒申鐃緒申鐃緒申鐃銃わ申鐃暑こ鐃夙を示わ申鐃淑わ申鐃緒申鐃緒申
鐃熟環緒申同鐃緒申鐃叔わ申鐃暑こ鐃夙を示わ申鐃淑わ申鐃緒申鐃緒申
鐃塾核はどわ申鐃淑るか鐃緒申
${\mbox{${\mathbb{Z}}$}}/lm{\mbox{${\mathbb{Z}}$}}$ , ${\mbox{${\mathbb{Z}}$}}/l{\mbox{${\mathbb{Z}}$}}\times {\mbox{${\mathbb{Z}}$}}/m{\mbox{${\mathbb{Z}}$}}$ 鐃塾醐申鐃塾個随申鐃薯それぞ鐃緒申鐃緒申鐃緒申覆鐃緒申鐃緒申鐃�
$f([x]_{lm})=([1]_l,[0]_m)$ 鐃緒申鐃緒申鐃緒申鐃緒申鐃緒申鐃緒申鐃緒申存鐃淳わ申鐃暑こ鐃夙を示わ申鐃淑わ申鐃緒申鐃緒申
鐃緒申鐃� 鐃祝わ申鐃緒申鐃緒申鐃銃￥申

$\displaystyle x= k_1 l +1 =k_2 m$
鐃淑わ申鐃緒申鐃緒申鐃緒申存鐃淳わ申鐃暑こ鐃夙を示わ申鐃緒申鐃緒申鐃塾わ申鐃夙わ申鐃初、

$\displaystyle a l +b m=1$
鐃緒申鐃緒申鐃緒申鐃緒申鐃緒申存鐃淳わ申鐃暑こ鐃夙の常申鐃緒申鐃緒申与鐃緒申鐃淑わ申鐃緒申鐃緒申

鐃緒申鐃緒申 11.5

${\mathbb{C}}[X]$ 鐃塾なわ申鐃塾醐申鐃叔￥申鐃叔鰹申鐃緒申余鐃所、鐃叔鰹申鐃緒申余鐃緒申茲�申鐃� 鐃緒申里鐃緒申鐃緒申鐃縦挙げなわ申鐃緒申鐃緒申
鐃緒申里茲�申鐃� 鐃緒申鐃緒申鐃銃居申鐃淑わ申鐃緒申鐃緒申