23/04/12 20:50:26.95 3C+xojwA.net
>>108
>もちろん行列環では成り立つだろうが
>それは環の一般論から言える訳では無い
>だから正則行列(逆行列が存在する行列)の
>別の特徴付けとして零因子を持ち出すのは
>迂遠だしそれ故不自然
下記の Zero divisor en.wikipedia で
Zero divisor on a module：
”Specializing the definitions of "M-regular" and "zero divisor on M" to the case M = R recovers the definitions of "regular" and "zero divisor" given earlier in this article.”
これも、常識として覚えておきましょうね！！ｗｗｗｗｗｗ
これ知らなかったの？
無知だな！
アホや～！ｗｗｗｗｗｗ
(参考)
URLﾘﾝｸ(en.wikipedia.org)
Zero divisor
Zero divisor on a module
Let R be a commutative ring, let M be an R-module, and let a be an element of R. One says that a is M-regular if the "multiplication by a" map
M *a→M is injective, and that a is a zero divisor on M otherwise.[4] The set of M-regular elements is a multiplicative set in R.[4]
Specializing the definitions of "M-regular" and "zero divisor on M" to the case M = R recovers the definitions of "regular" and "zero divisor" given earlier in this article.