Characterizations of clean elements by means of outer inverses in rings and applications

被引：8

作者：

Mary, Xavier ^{[1
]}

机构：

[1] Univ Paris Nanterre, ModalX, UPL, F-92000 Nanterre, France

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 07期

关键词：

Clean elements; unit-regular elements; strongly regular elements; inverses along an element; (b; c)-inverses; outer inverses; general rings; GENERALIZED INVERSES; EXTENSIONS;

D O I：

10.1142/S0219498820501340

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize clean elements in unital and general rings by means of outer inverses. Some special cases, such as both clean and unit-regular elements, or strongly clean elements, are discussed. As an application, we also derive new characterizations of strongly regular elements.

引用

页数：23

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