Rings Whose Non-Invertible Elements Are Nil-Clean
Rings and Algebras
2024-05-17 v1 Representation Theory
Abstract
We systematically study those rings whose non-units are a sum of an idempotent and a nilpotent. Some crucial characteristic properties are completely described as well as some structural results for this class of rings are obtained. This work somewhat continues two publications on the subject due to Diesl (J. Algebra, 2013) and Karimi-Mansoub et al. (Contemp. Math., 2018).
Cite
@article{arxiv.2405.09961,
title = {Rings Whose Non-Invertible Elements Are Nil-Clean},
author = {Peter Danchev and Arash Javan and Omid Hasanzadeh and Ahmad Moussavi},
journal= {arXiv preprint arXiv:2405.09961},
year = {2024}
}
Comments
16 pages