On weakly clean and weakly exchange rings having the strong property

Author:

Danchev Peter1

Affiliation:

1. Plovdiv University, Department of Mathematics Plovdiv, Bulgaria

Abstract

We define two classes of rings calling them weakly clean rings and weakly exchange rings both equipped with the strong property. Although the classes of weakly clean rings and weakly exchange rings are different, their two proper subclasses above do coincide. This extends results due to W. Chen (Commun. Algebra, 2006) and Chin-Qua (Acta Math. Hungar., 2011). We also completely characterize strongly invo-regular rings, thus somewhat extending results due to Danchev-McGovern (J. Algebra, 2015). Some other principal results concerning weakly clean and weakly exchange rings are discussed as well.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. ON WEAKLY k-CLEAN RINGS;JORDAN J MATH STAT;2023

2. Uniquely exchange rings;Publications de l'Institut Math?matique (Belgrade);2022

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