Modules With Unique Closure Relative to a Torsion Theory II

Dogruoz, Semra; Harmanci, Abdullah; Smith, Patrick

doi:10.3906/mat-0712-16

Modules With Unique Closure Relative to a Torsion Theory II

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

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

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
Open Archive Collection: AVESIS Open Access Collection
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.