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Rings additively generated by idempotents and nilpotents

Rings additively generated by idempotents and nilpotents

A ring R is a strongly 2-nil-clean if every element in R is the sum of two idempotents and a nilpotent that commute. A ring R is feebly clean if every element in R is the sum of two orthogonal idempotents and a unit. In this article, strongly 2-nil-clean rings …