English

When $\delta$-semiperfect rings are semiperfect

Rings and Algebras 2008-10-02 v1

Abstract

Zhou defined δ\delta-semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are δ\delta-supplemented. Module theoretic version of our results are obtained.

Keywords

Cite

@article{arxiv.0810.0041,
  title  = {When $\delta$-semiperfect rings are semiperfect},
  author = {Engin Büyükaşık and Christian Lomp},
  journal= {arXiv preprint arXiv:0810.0041},
  year   = {2008}
}
R2 v1 2026-06-21T11:25:56.382Z