We continue the study of modules over a general ring R whose submodules have a unique
closure relative to a hereditary torsion theory on Mod-R. It is proved that, for a given ring R …

We continue the study of modules over a general ring R whose submodules have a unique
closure relative to a hereditary torsion theory on Mod-R. It is proved that, for a given ring 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 …

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 …

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

In the category of right modules over the ring E= End R (F), where F is a free right R-module,
a torsion is defined. It is known as Tol'skaya torsion. The correlation between torsion-free E …

Injective and projective modules are studied relative to a hereditary torsion theory τ on Mod–
R. It is shown that every τ–projective module is projective if and only if the torsion ideal of 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 …

Let R be a ring with identity. In this note we study covers of left R-modules by r-injectives left
R-modules, where r is a hereditary torsion theory defined in the category of all left R …