Turkish Journal of Mathematics
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, SEMRA; HARMANCI, ABDULLAH; and SMITH, PATRICK F.
(2009)
"Modules With Unique Closure Relative to a Torsion Theory II,"
Turkish Journal of Mathematics: Vol. 33:
No.
2, Article 2.
https://doi.org/10.3906/mat-0712-16
Available at:
https://journals.tubitak.gov.tr/math/vol33/iss2/2
