Let M be a right R-module,\cal M the class of all M-small modules, and P a projective cover
of M in σ M. We consider the torsion theories\cal M=(\cal T _\cal M,\cal F _\cal M),\tau_V=(\cal …

Let M and N be R-modules. We define where S denotes the class of all M-small modules.
We call N an M-cosingular (non-M-cosingular) module if ZM (N)= 0 (ZM (N)= N). We study …

Let M be a left R-module, h submodule T of M is called proper in case T# M. For a hereditary
torsion theory z, a submodule N of M is called z-small in case there is no proper z-pure …

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 …

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 …

Given a hereditary torsion theory $\tau=(\mathbb {T},\mathbb {F}) $ in Mod-$ R $, a module $
M $ is called $\tau $-supplemented if every submodule $ A $ of $ M $ contains a direct …

Modules with Unique Closure Relative to a Torsion Theory | AVESİS Hacettepe Üniversitesi
Akademik Veri Yönetim Sistemi Araştırmacı Girişi English Detaylı Arama Ana Sayfa Son …

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 …

In this note, developing our previous work [8] with S. Takashima, we will characterize rings R
for which every finitely generated submodule of the injective envelope E (RR) is torsionless …

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 …