English

Factorizations of Matrices Over Projective-free Rings

Rings and Algebras 2014-06-06 v1

Abstract

An element of a ring RR is called strongly J#J^{\#}-clean provided that it can be written as the sum of an idempotent and an element in J#(R)J^{\#}(R) that commute. We characterize, in this article, the strongly J#J^{\#}-cleanness of matrices over projective-free rings. These extend many known results on strongly clean matrices over commutative local rings.

Keywords

Cite

@article{arxiv.1406.1237,
  title  = {Factorizations of Matrices Over Projective-free Rings},
  author = {H. Chen and H. Kose and Y. Kurtulmaz},
  journal= {arXiv preprint arXiv:1406.1237},
  year   = {2014}
}
R2 v1 2026-06-22T04:31:13.447Z