Modules With Unique Closure Relative to a Torsion Theory II

Creative Commons License

Dogruoz S., Harmanci A., Smith P. F.

TURKISH JOURNAL OF MATHEMATICS, vol.33, no.2, pp.111-116, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.3906/mat-0712-16
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.111-116
  • Hacettepe University Affiliated: Yes

Abstract

We study modules M over a general ring R such that every submodule has a unique closure with respect to a hereditary torsion theory tau on Mod-R using the fact that the module M satisfies a certain transitivity property on tau-closed submodules.