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C1 modules with respect to a hereditary torsion theory
Torsion theory C1-module closed submodule
2010/2/25
An R-module M is said to be a C1-module if every closed submodule of M is a direct summand. In this paper we introduce and investigate the concept of the t-C1 module for a hereditary torsion theory t ...
Modules With Unique Closure Relative to a Torsion Theory II
Closed submodule UC-module hereditary torsion theory
2010/2/25
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 tran...
This article introduces the concept of a t-supplemented module as follows: Given a hereditary torsion theory in Mod R with associated torsion functor t, we say that a module M is t-supplemented when f...