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
Cited by
2 articles.
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1. ON WEAKLY k-CLEAN RINGS;JORDAN J MATH STAT;2023
2. Uniquely exchange rings;Publications de l'Institut Math?matique (Belgrade);2022