J. Lambek and G. Michler [3] have initiated the study of a ring of quotients RP associated
with a two-sided prime ideal P in a right noetherian ring R. The ring RP is the quotient ring …

Let R be a left hereditary ring. We show that if the left cotorsion envelope C (RR) of R is
countably generated, then R is a semilocal ring. In particular, we deduce that C (RR) is …

The proof of Theorem 1 can be found in [I, Corollaries 17.4 and 18.81 and [7]. The
equivalence of (i) and (v) is Osofsky's Theorem. This is but one of a number of theorems …

This paper considers the local case of modules over a fixed but arbitrary discrete valuation
ring R. Throughout, p denotes a fixed prime element of R and all modules are unitary R …

Our object in this paper is to characterize all the rings which can occur as endomorphism
rings of reduced torsion-free modules over a complete discrete valuation ring. A complete …

In this paper, we introduce the notion of cofinitely injective modules and study their
properties over special types of rings. We define a right R‐module M to be cofinitely injective …

Using the dual of a categorical definition of an injective envelope, injective covers can be
defined. For a ring R, every left R-module is shown to have an injective cover if and only if R …

Let R be an associative ring with unit and denote by FM the class of all flat and Mittag-Leffler
left R-modules. In [4] it is proved that, if R is countable, the orthogonal class of FM consists of …

Throughout this paper all rings are associative with identity 1 4: 0 and all modules are
unitary. Let R be a ring. The aim of this paper is to give a characterization of all left linearly …

After the introduction hy Enochs [9] of the concepts of (pre) erlveIope and I llrejcover of a
module 1r1 a gi\wi class F of modules, there has been great interest in tllelr stud;, specially …