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.
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收藏
页数：23
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