Symmetric modules over their endomorphism rings

Ungor B., Kurtulmaz Y., Halicioglu S., Harmanci A.

ALGEBRA & DISCRETE MATHEMATICS, vol.19, no.2, pp.283-294, 2015 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2015
  • Journal Name: ALGEBRA & DISCRETE MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.283-294
  • Hacettepe University Affiliated: Yes

Abstract

Let R be an arbitrary ring with identity and Al a right R-module with S = End(R)(M). In this paper, we study right R-modules 11 haying; the property for f, g is an element of End(R)(M) and for m is an element of M, the condition f gm = 0 implies gfm = 0. We prove that some results of symmetric rings can be extended to symmetric [nodules for this general setting.