On Clean Rings and Clean Elements

被引：0

作者：

Chen, Weixing ^{[1
]}

Cui, Shuying ^{[1
]}

机构：

[1] Shandong Inst Business Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2008年 / 32卷 / 05期

关键词：

Exchange rings; Clean rings; Clean elements; Right pm-rings;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that if R is an Abelian right pm-ring with a finite number of minimal prime ideals then R is a clean ring, which extends a main result in [1]. Some known results in [9] on clean elements of commutative reduced rings are extended to arbitrary Abelian rings. In this note, we also give some new characterizations theorems of a (strongly) clean

引用

页码：855 / 861

页数：7

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