A characterization of unit regular rings

被引：94

作者：

Camillo, VP ^{[1
]}

Khurana, D

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52246 USA

[2] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India

来源：

COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 05期

关键词：

D O I：

10.1081/AGB-100002185

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that a ring R is unit regular if and only if every element a of R can be written as e + u such that a R boolean AND PR = 0, where e is an idempotent and u a unit in R.

引用

页码：2293 / 2295

页数：3

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