The notion of simple-direct-injective modules which are a generalization of injective
modules unifies $ C2 $ and $ C3 $-modules. In the present paper, we introduce the notion of …

It is known that every essential extension of a direct sum of injective hulls of simple R-
modules is a direct sum of injective R-modules if and only if the ring R is right noetherian …

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 …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

Let Q be the field of rational numbers. As a module over the ring Z of integers, Q is Z-
projective, but QZ is not a projective module. Contrary to this situation, we show that over a …

We prove the following results for a ring R.(a) If C is a class of right R-modules closed under
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …

This paper is essentially concerned with-injectivity (a generalization of injectivity) and an
analog ous concept which generalizes projectivityИ called-projectivity. Introduction …

A p-indigent module is one that is subprojective only to projective modules. An RD-
projective module is subprojective to any torsionfree (and flat) module. An RD-projective …

A module M is said to be weakly injective if every finitely generated submodule of its
injective hull E (M) is contained in a submodule X of E (M) isomorphic to M. We prove that a …