Rings additively generated by idempotents and nilpotents
Rings and Algebras
2018-03-20 v1
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
Keywords
Cite
@article{arxiv.1803.06468,
title = {Rings additively generated by idempotents and nilpotents},
author = {Huanyin Chen and Marjan Sheibani Abdolyousefi},
journal= {arXiv preprint arXiv:1803.06468},
year = {2018}
}