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 …

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 …

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 divisible and codivisible modules are studied relative to a torsion theory on
Mod. fi. It is shown, for example, that if the tor sion theory is hereditary, then the following are …

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 …

This paper continues the study of codivisible modules, whose definition is a “dualization” of
Lambek's concept [4] of a divisible module relative to a torsion theory. The main purpose of …

Given a hereditary torsion theory on the category Mod R of right R-modules we obtain in this
paper necessary and sufficient conditions for the direct sum of a given family of R-modules …

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 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 …

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 …