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A Generalization of Strongly Nil Clean Rings

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Generalizing the notion of strongly nil clean rings, we introduce strongly quasi-nil clean rings. Some fundamental properties and equivalent characterizations of this class of rings are provided. By means of… Click to show full abstract

Generalizing the notion of strongly nil clean rings, we introduce strongly quasi-nil clean rings. Some fundamental properties and equivalent characterizations of this class of rings are provided. By means of g-Drazin inverses, Cline’s formula and Jacobson’s lemma for strongly quasi-nil clean elements are investigated.

Keywords: clean rings; strongly nil; generalization strongly; nil clean

Journal Title: Algebra Colloquium
Year Published: 2018

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