English

n-Torsion Clean Rings

Rings and Algebras 2018-01-15 v1

Abstract

Let n be an arbitrary natural number. The class of (strongly) n-torsion clean rings is introduced and investigated. Abelian n-torsion clean rings are somewhat characterized and a complete characterization of strongly n-torsion clean rings is given in the case when n is odd. Some open questions are posed at the end.

Keywords

Cite

@article{arxiv.1801.04182,
  title  = {n-Torsion Clean Rings},
  author = {Peter Danchev and Jerzy Matczuk},
  journal= {arXiv preprint arXiv:1801.04182},
  year   = {2018}
}
R2 v1 2026-06-22T23:43:43.368Z