MMN-2585

A generalization of nil-clean rings

Aleksandra Aleksandra Kostic; Zoran Z. Petrovic; Zoran S. Pucanovic; Maja Roslavcev;

Abstract

The conditions that allow an element of an associative, unital, not necessarily commutative ring $R$, to be represented as a sum of (commuting) idempotents and one nilpotent element are analyzed. Some applications to group rings are also presented.


Vol. 19 (2018), No. 2, pp. 969-981
DOI: https://doi.org/10.18514/MMN.2018.2585


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