Title of article :
Modules With Unique Closure Relative to a Torsion Theory II
Author/Authors :
Dogruoz, Semra Adnan Menderes University - Science and Litarature Faculty - Department of Mathematics, TURKEY , Harmancı, Abdullah Hacettepe University - Department of Mathematics, TURKEY , Smith, Patrick F. University of Glasgow - Department of Mathematics, Scotland
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 τ on Mod-R using the fact that the module M satisfies a certain transitivity property on τ -closed submodules.
Keywords :
Closed submodule , UC , module , hereditary torsion theory
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
