Modules With Unique Closure Relative to a Torsion Theory II

Authors: SEMRA DOĞRUÖZ, ABDULLAH HARMANCI, PATRICK F. SMITH

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.

Keywords: Closed submodule, UC-module, hereditary torsion theory.

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