Rings generated by idempotents and nilpotents
Rings and Algebras
2022-02-07 v1
Abstract
We present new characterizations of the rings in which every element is the sum of two idempotents and a nilpotent that commute, and the rings in which every element is the sum of two tripotents and a nilpotent that commute. We prove that such rings are completely determined by the additive decompositions of their square elements.
Keywords
Cite
@article{arxiv.2202.02127,
title = {Rings generated by idempotents and nilpotents},
author = {Huanyin Chen and Marjan Sheibani Abdolyousefi},
journal= {arXiv preprint arXiv:2202.02127},
year = {2022}
}