Rings Whose Non-Invertible Elements are Weakly Nil-Clean
Rings and Algebras
2024-07-16 v1 Representation Theory
Abstract
In regard to our recent studies of rings with (strongly, weakly) nil-clean-like properties, we explore in-depth both the structural and characterization properties of those rings whose elements that are not units are weakly nil-clean. Group rings of this sort are considered and described as well.
Cite
@article{arxiv.2407.10232,
title = {Rings Whose Non-Invertible Elements are Weakly Nil-Clean},
author = {Peter Danchev and Arash Javan and Omid Hasanzadeh and Ahmad Moussavi},
journal= {arXiv preprint arXiv:2407.10232},
year = {2024}
}
Comments
24 pages