Strongly clean rings and fitting's lemma

被引：246

作者：

Nicholson, WK ^{[1
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 1999年 / 27卷 / 08期

关键词：

D O I：

10.1080/00927879908826649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 pi-regular rings, and several properties of strongly pi-regular rings are extended, including their relationship to Fitting's lemma.

引用

页码：3583 / 3592

页数：10

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