In this paper, we obtain the structure of the endomorphism rings of nonsingular semiperfect
progenerator uniform CS modules with uniform submodule. It is shown that such rings are …

Abstract A right R-module M is called CS if every submodule of M is essential in a direct
summand of M. In this dissertation, we study certain classes of CS and Σ-CS rings and …

Abstract A module M is CS if every submodule of M is essential in a direct summand of M. In
this note we use the CS condition to provide conditions for semiperfect rings to be self …

A module M is called a CS module if every submodule of M is essential in a direct summand
of M. In this paper, among other results, we prove that for a ring R with finitely generated …

In this paper, the concepts of quasi-c-principally injective modules (in short, quasi-cp-
injective modules) and self-c-principally injective rings are introduced. In support of these …

Let C be a class of some finitely presented left R-modules. A left R-module M is called C-
injective, if Ext R 1 (C, M)= 0 for each C∈ C. A right R-module M is called C-flat, if Tor 1 R …

Any right R-module M is called a CS-module if every submodule of M is essential in a direct
summand of M. A ring is said to be CS-ring if R as a right R-module is CS [9]. In this paper …

In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

Throughout this paper all rings will be associative with identity and modules will be unital
right modules. A ring R is called right CS-ring (or extending ring) if every right ideal I in R is …

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 …