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.

DOI

10.3906/mat-0712-16

Keywords

Closed submodule, UC-module, hereditary torsion theory.

First Page

111

Last Page

116

Recommended Citation

DOĞRUÖZ, S, HARMANCI, A, & SMITH, P. F (2009). Modules With Unique Closure Relative to a Torsion Theory II. Turkish Journal of Mathematics 33 (2): 111-116. https://doi.org/10.3906/mat-0712-16

Download