Let Λ be an artin algebra. We give an upper bound for the dimension of the bounded derived
category of the category mod Λ of finitely generated right Λ-modules in terms of the …

Let τ be a hereditary torsion theory on ModR and suppose that Qτ: ModR→ ModR is the
localization functor. It is shown that for all R‐modules M, every higher derivation defined on …

Differential torsion theories are introduced and it is shown that for a hereditary torsion theory
τ every derivation on an R-module M has a unique extension to its module of quotients if and …

Classes of modules with given properties (like being closed under direct sums and factor
modules) play an important part in various aspects of Module Theory. Most of these classes …

Colby and Rutter [6] proved that a ring R contains an essential left socle and an essential
right socle and has a two sided semi-simple maximal (complete) quotient ring if and only if R …

R always stands for an associative ring with identity and R-Mod is the category of all unitary
left R-modules. The injective hull of a module M is denoted by£(М), the direct product (sum) …

For a category of modules, the notion, dual to that of a torsion radical, has been called a
cotorsion radical. In this paper, the following two properties are examined for a cotorsion …

Recently in his paper [5], M. Sato introduced the concept of weakly divisible modules and
called a preradicai t pseudo-cohereditary if every weakly divisible module is divisible. On the …

Let R be an associative ring with unit element 1 and let R-mod denote the category of unitary
left R-modules. In [5] McMaster defined the notion of a cotorsion theory on R-mod and …

A PRERADICAL WHICH SATISFIES THE PROPERTY THAT EVERY WEAKLY DIVISIBLE
MODULE IS DIVISIBLE Page 1 TS ü KUBA J. MATH Vol. 5 No 1 (1981). 153-163 A …