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nilpotent ideal相关的网络例句

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The following statements are proved:. A is equivalent to a diagonal matrix if and only if A is similar to a diagonal matrix.. If R is an APT ring, then A can be uniquely diagonalized as diag{e1,..., en} and ei divides ei+1.. R is an APT ring if and only if R/I is an APT ring, where I is a nilpotent ideal of R.

本文证明了以下结果:A相抵于一对角阵当且仅当A相似于一对角阵;若R是一APT环,则A在相似变换之下可唯一地化为对角形diag{e1,…,en},这里ei整除ei+1;R是APT环当且仅当R/I是APT环,这里I是环R的一幂零理想。

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