Modules with Unique Closure Relative to a Torsion Theory Page 1 Canad. Math. Bull. Vol. 53
(2), 2010 pp. 230–238 doi:10.4153/CMB-2010-012-9 c©Canadian Mathematical Society 2009 …

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Modules With Unique Closure Relative to a Torsion Theory II Page 1 Turkish Journal of
Mathematics Volume 33 Number 2 Article 2 1-1-2009 Modules With Unique Closure Relative …

Modules With Unique Closure Relative to a Torsion Theory II Page 1 Turkish Journal of
Mathematics Volume 33 Number 2 Article 2 1-1-2009 Modules With Unique Closure Relative …

In this note we characterize those torsion theories over a semiperfect ring such that the class
of torsion free modules is closed under projective covers and the hereditary torsion theories …

In a previous paper we introduced μ-complemented modules for any given torsion functor μ
of a hereditary torsion theory in Mod-R and presented their basic properties. Our current …

In the previous paper [g] we have introduced the notion of a cyclic-hereditary torsion class
for the category mod-R of unital right R-modules over a ring R with unit as a torsion class …

Let R be a ring, M a right R-module and a hereditary torsion theory in Mod-R with associated
torsion functor τ for the ring R. Then M is called τ-supplemented when for every submodule …

A classical question for modules over an integral domain is," When is the torsion submodule
t (A) of a module A a direct summand of AT'A module is said to split when its torsion …

This article introduces the concept of μ-complemented modules as follows: given a
hereditary torsion theory in Mod-R with associated torsion functor μ we say that a module M …