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 this paper we study hereditary torsion theories in the category rWI of left i?-modules over a
semiperfect ring R. Specifically we are interested in determining those hereditary torsion …

Chase has given several characterizations of a right coherent ring, among which are: every
direct product of copies of the ring is left-flat; and every finitely generated submodule of a …

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 …

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 …

The purpose of this paper is to introduce the study of perfect torsion theories on
$\operatorname {Mod} R $ and to dualize the concept of divisible module. A torsion theory …

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 …

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 this paper, the following condition for a torsion theory in the sense of SE Dickson is
examined:($\text {P} $) Every nonzero torsionfree module contains a nonzero projective …

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 …