Strongly clean rings and fitting's lemma
Strongly clean rings and fitting's lemma
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DOI：
10.1080/00927879908826649
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发表时间：
1999
影响因子：
0.7
通讯作者：
W. K. Nicholson
中科院分区：
文献类型：
--
作者：
W. K. Nicholson
如果一个环的每个元素都是一个幂等元和一个可交换单位的和，则称它为强清洁环。证明了这些环是强π-正则环的自然推广，并推广了强π-正则环的几个性质，包括它们与Figing引理的关系。
A ring is called strongly clean if every element is the sum of an idempotent and a unit which commute. These rings are shown to be a natural generalization of the strongly π-regular rings, and several properties of strongly π-regular rings are extended, including their relationship to Fitting's lemma.