English

Group Rings that are Additively Generated by Idempotents and Units

Rings and Algebras 2009-04-07 v1

Abstract

We study clean group rings and also the group rings whose every element is a sum of two units. We also prove that if R is an Abelian exchange ring and G is a locally finite group, then the group ring RG has stable range one.

Keywords

Cite

@article{arxiv.0904.0861,
  title  = {Group Rings that are Additively Generated by Idempotents and Units},
  author = {Dinesh Khurana and Chanchal Kumar},
  journal= {arXiv preprint arXiv:0904.0861},
  year   = {2009}
}

Comments

5 pages