Commutative feebly nil-clean group rings

An arbitrary unital ring R is called feebly nil-clean if any its element is of the form q + e − f, where q is a nilpotent and e, f are idempotents with ef = fe. For any commutative ring R and any abelian group G, we find a necessary and sufficient condition when the group ring R(G) is feebly nil-cle...

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Bibliographic Details
Main Author: Danchev Peter V.
Format: Article
Language:English
Published: Sciendo 2019-12-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.2478/ausm-2019-0020