On graded NR-clean rings
Commutative Algebra
2024-01-23 v2 Rings and Algebras
Abstract
This paper presents an extension of the concept of NR-clean introduced in [12] to graded ring theory. We define and explore graded NR-clean rings, which generalize the class of graded U-nil clean previously studied in [15]. We provide examples and basic properties of such rings, and investigate their extensions to including matrix rings, group rings, as well as trivial ring extensions.
Cite
@article{arxiv.2311.11115,
title = {On graded NR-clean rings},
author = {Ismail Namrok},
journal= {arXiv preprint arXiv:2311.11115},
year = {2024}
}