鐃緒申鐃緒申鐃緒申鐃緒申鐃�II 鐃緒申鐃緒申 No.5

鐃緒申鐃緒申鐃緒申鐃緒申鐃緒申 $A \in M_n({\mathbb{C}})$ 鐃緒申与鐃緒申鐃緒申鐃銃わ申鐃緒申箸鐃緒申襦�

鐃緒申

鐃緒申鐃緒申 5.1 (鐃緒申鐃緒申4.1 鐃緒申瞳鐃�)

鐃緒申 ${\mathbb{C}}[X]$ -鐃獣件申鐃夙わ申鐃緒申 ${\mathbb{C}}[X]/d(X){\mathbb{C}}[X]$ 鐃塾件申鐃塾加件申鐃緒申直鐃渋わ申同鐃緒申鐃叔わ申鐃暑。

鐃夙わ申鐃祝￥申鐃緒申鐃緒申鐃緒申鐃緒申鐃宿緒申鐃緒申鐃緒申屬蓮鐃� ${\mathbb{C}}[X]/X^k {\mathbb{C}}[X]$ 鐃塾件申鐃塾加件申鐃緒申直鐃渋わ申分鐃薯さわ申襦�

単鐃緒申鐃述の計誌申法鐃熟￥申鐃緒申3鐃緒申暴劼戮鐃緒申鐃緒申鐃緒申鐃緒申了鐃緒申砲鐃緒申鐃緒申的単鐃緒申鐃� 鐃緒申鐃藷しわ申鐃緒申傍鵑欧覆鐃緒申辰鐃緒申鐃緒申鐃緒申鐃緒申六鐃緒申鐃熟もう鐃緒申鐃緒申複鐃緒申鐃叔わ申鐃暑。 (鐃醇ー鐃緒申鐃緒申奪匹慮濬鐃祝￥申鐃宿�申廚砲覆襦�) 鐃緒申檗鐃緒申鐃緒申鐃緒申鐃薯参照のわ申鐃夙￥申

${\mathbb{C}}[X]/d(X){\mathbb{C}}[X]$ 鐃緒申鐃緒申分鐃緒申鐃緒申鐃祝なるか鐃緒申鐃塾わ申覆鐃緒申鐃� 鐃緒申鐃緒申鐃緒申分鐃緒申(鐃処週鐃塾関随申鐃緒申鐃淳計のとわ申鐃緒申鐃祝わ申颪い鐃�)

鐃緒申鐃緒申鐃祝わ申鐃舜随申鐃緒申分鐃緒申鬚Δ泙鐃緒申僂鐃緒申襦�

命鐃緒申 5.2

鐃熟互わ申鐃緒申鐃叔わ申 ${\mathbb{C}}$ 鐃緒申鐃渋随申犲逸申任鐃緒申鐃夙わ申鐃暑。鐃緒申鐃塾とわ申鐃緒申 ${\mathbb{C}}[X]$ -鐃獣件申鐃夙わ申鐃銃わ申同鐃緒申

$\displaystyle {\mathbb{C}}[X]/d_1(X)d_2(X) \cong {\mathbb{C}}[X]/d_1(X) \oplus {\mathbb{C}}[X]/d_2(X)$

鐃緒申存鐃淳わ申鐃暑。(但鐃緒申鐃緒申鐃春へわ申 ${\mathbb{C}}[X]$ 鐃塾削申鐃術わ申鐃出角件申

$\displaystyle f. (g,h)=(f.g, f.h)$

鐃緒申鐃緒申泙辰討鐃緒申鐃緒申里箸鐃緒申襦�)

鐃緒申鐃緒申 5.3 (鐃緒申鐃緒申離鐃緒申鐃緒申鐃緒申鐃緒申標鐃準型) 任鐃春の刻申鐃緒申 $A \in M_n({\mathbb{C}})$ 鐃緒申鐃出わ申鐃銃￥申鐃緒申鐃緒申鐃緒申則鐃緒申鐃緒申 $P\in M_n({\mathbb{C}})$ 鐃緒申鐃緒申鐃獣て￥申 $B=P A P^{-1}$ 鐃緒申鐃緒申鐃塾よう鐃淑件申鐃塾刻申鐃緒申(鐃緒申鐃緒申鐃緒申鐃緒申屮鐃緒申奪鐃緒申噺討个鐃緒申)鐃緒申直鐃緒申(鐃出角わ申鐃渋わ申鐃緒申鐃�)鐃緒申鐃緒申鐃緒申鐃緒申鐃淑る。

$\displaystyle J_s(a)= \begin{pmatrix} a& 1 & \\ & a & 1 \\ & & \ddots & \ddots \\ & & & a & 1 \\ & & & & a \end{pmatrix}$