In this paper, we give some characterizations of modules M over a ring R such that every
submodule has a unique closure relative to a hereditary torsion theory on Mod-R by using …

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 …

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\tau-C1 module for a …

This article introduces the concept of a\tau-supplemented module as follows: Given a
hereditary torsion theory in Mod R with associated torsion functor\tau, we say that a module …

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 …

An R-module M is said to be an extending module if every closed submodule of M is a direct
summand. In this paper we introduce and investigate the concept of a type 2 τ-extending …

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 …

Let τ be a hereditary torsion theory. The purpose of this paper is to extend results about
singular (resp. nonsingular) modules to τ-singular (resp. τ-nonsigular) modules. An R …

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 …