EXCHANGE RINGS IN WHICH ALL REGULAR ELEMENTS ARE ONE-SIDED UNIT-REGULAR

被引：1
作者：
Chen, Huanyin [1 ]
机构：
[1] Hangzhou Normal Univ, Hangzhou 310036, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2008年 / 58卷 / 04期
关键词：
exchange ring; one-sided unit-regularity; idempotent;
D O I：
10.1007/s10587-008-0058-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in R is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.
引用
收藏
页码：899 / 910
页数：12
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