Strongly q-Nil-Clean Rings


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Abstract

Under study are the rings whose every element is a sum of a nilpotent and a q-potent that commute with one another. We describe the rings whose every element is a sum of k idempotents (for some k ∈ ℕ) and a nilpotent that commute with one another.

About the authors

A. N. Abyzov

Kazan (Volga Region) Federal University

Author for correspondence.
Email: Adel.Abyzov@kpfu.ru
Russian Federation, Kazan

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