Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 2

Modules With Unique Closure Relative to a Torsion Theory II

Sayfa
111–116
DOI
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Özet

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

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 t on Mod-R using the fact that the module M satisfies a certain transitivity property on t-closed submodules.

Anahtar kelimeler: Closed submodule, UC-module, hereditary torsion theory.