1 Introduction and Abstract. It is well known that hereditary torsion theories have been
extensively studied and have much application to ring theoies. Every hereditary torsion …

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 …

Throughout all rings R are associative wit, h identity, and all modules are unitary right R-
modules. Mod-R will denote the category of unitary right R-modulcs. A classical result in ring …

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 …

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 …

Let R be a ring and let R-mod denote the category of all left R-modules. If T is a (hereditary)
torsion theory on R-mod then a left R-module M is said to have a T-composition series if and …

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

Let R be a ring with identity. As in [I],[XI, and [= I, a class T of leftd (or right) R-modules is
called a torsion class if it is closed under direct sums, homomorphic images, and extensions …

Let R be an associative ring with 1 and let T be a hereditary torsion theory in the category of
left R-modules. In defining the localizatio n of R respect to x, the concept of T-injective …

Modules With Unique Closure Relative to a Torsion Theory II Page 1 Turk J Math 33 (2009) ,
111 – 116. cO T ÜBITAK doi:10.3906/mat-0712-16 Modules With Unique Closure Relative to a …