English

Strongly Rad-clean Matrices over Commutative Local Rings

Rings and Algebras 2022-04-29 v2

Abstract

An element aRa\in R is provided that there exists an idempotent eRe\in R such that aeU(R),ae=eaa-e\in U(R), ae=ea and eaeJ(eRe)eae\in J(eRe). In this article, we investigate strongly rad-clean matrices over a commutative local ring. We completely determine when a 2×22\times 2 matrix over a commutative local ring is strongly rad-clean.

Keywords

Cite

@article{arxiv.2201.09276,
  title  = {Strongly Rad-clean Matrices over Commutative Local Rings},
  author = {Huanyin Chen and Handan Kose and Yosum Kurtulmaz},
  journal= {arXiv preprint arXiv:2201.09276},
  year   = {2022}
}
R2 v1 2026-06-24T08:59:07.187Z