Turkish Journal of Mathematics

Modules With Unique Closure Relative to a Torsion Theory II
Semra DOĞRUÖZ
Adnan Menderes University,
Department of Mathematics,
Science and Litarature Faculty,
Aydın-TURKEY
e-mail: sdogruoz@adu.edu.tr
Abdullah HARMANCI
Hacettepe University,
Department of Mathematics
Beytepe Kampusu, Ankara-TURKEY
e-mail: harmanci@hacettepe.edu.tr
Patrick F. SMITH
University of Glasgow,
Department of Mathematics
Glasgow G12 8QW Scotland, UK
e-mail: pfs@maths.gla.ac.uk

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.

Key Words: Closed submodule, UC-module, hereditary torsion theory.

Turk. J. Math., 33, (2009), 111-116.
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Other articles published in the same issue: Turk. J. Math.,vol.33,iss.2.