On rings with trivial torsion parts Page 1 BULL. AUSTRAL. MATH. SOC. I8A40 VOL. 9 (1973),
275-290. (I6AI2 ' 16A32) On rings with trivial torsion parts L. Bican, P. Jambor, T. Kepka, P …

Rings whose modules form few torsion classes Page 1 BULL. AUSTRAL. MATH. SOC. MOS
I8E40, I6A64, I6A2I VOL. 4 (1971), 355-359. Rings whose modules form few torsion classes …

JP Jans has shown that if a ring R is right perfect, then a certain torsion in the category Mod
R of left R-modules is closed under taking direct products. Extending his method, JS Alin …

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 …

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

Throughout this paper R will be a commutative ring with one, and all R-modules will be
unitary. Our purpose is to study commutative ring exten-sions S of R. As a key tool in our …

This paper is concerned with studying necessary and sufficient conditions on a ring [italic] R
such that for certain classes of right [italic] R-modules, the singular submodule of any …

Commutative rings over which all torsion theories are hereditary Page 1 COMMUNICATIONS
IN ALGEBRA, 9(15), 1533-1540 (1981) COMMUTATIVE RINGS OVER WHICH ALL TORSION …

Throughout this paper it is assumed that rings are associative, have the identity element,
and all modules are left unital. R will denote a ring with identity, R-Mod the category of left R …

Hattori (1960) defined a right R-module A to be torsion-free if for all a∈ A and x∈ R, ax= 0
implies that there exist elements {x1, x2,…, xn}⊆ R with xix= 0 for all 1≦ i≦ n and {a1 …