Rings in which every unit is a sum of a nilpotent and an idempotent
Rings and Algebras
2017-10-10 v1
Abstract
A ring is a UU ring if every unit is unipotent, or equivalently if every unit is a sum of a nilpotent and an idempotent that commute. These rings have been investigated in C\u{a}lug\u{a}reanu \cite{C} and in Danchev and Lam \cite{DL}. In this paper, two generalizations of UU rings are discussed. We study rings for which every unit is a sum of a nilpotent and an idempotent, and rings for which every unit is a sum of a nilpotent and two idempotents that commute with one another.
Keywords
Cite
@article{arxiv.1710.02557,
title = {Rings in which every unit is a sum of a nilpotent and an idempotent},
author = {Arezou Karimi-Mansoub and Tamer Kosan and Yiqiang Zhou},
journal= {arXiv preprint arXiv:1710.02557},
year = {2017}
}