English

On graded u-nil clean rings

Commutative Algebra 2024-01-23 v2 Rings and Algebras

Abstract

In this paper we introduce and study the class of graded U-nil clean rings, as a generalization of graded nil-good class defined in [3]. We also investigate the transfer of the graded U-nil cleaness to matrix rings, and to graded group rings as well. The question of when trivial ring extensions are graded U-nil clean is also investigated.

Keywords

Cite

@article{arxiv.2311.09331,
  title  = {On graded u-nil clean rings},
  author = {Ismail Namrok},
  journal= {arXiv preprint arXiv:2311.09331},
  year   = {2024}
}
R2 v1 2026-06-28T13:22:36.608Z