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arXiv · 1803.06468

Rings additively generated by idempotents and nilpotents

Huanyin Chen·Marjan Sheibani Abdolyousefi
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Abstract

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 paper, strongly 2-nil-clean rings are studied with an emphasis on their relations with feebly clean rings. This work shows new interesting connections between strongly 2-nil-clean rings and weakly exchange rings

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Huanyin Chen, Marjan Sheibani Abdolyousefi. 2018-03-17. Rings additively generated by idempotents and nilpotents. https://arxiv.org/abs/1803.06468

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