A ring R is called a right C-injective ring if every homomorphism from a closed right ideal of
R to RR can be extended to one from RR to RR. It is clear that a right CS ring must be right C …

Let R be a ring and be a class of right R-modules which is closed under submodules,
quotients and isomorphisms. A right R-module M is called-injective if for every T. A ring R is …

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 …

As a generalization of right p-injective rings, we introduce the notion of right Jcp-injective
rings, ie for any right nonsingular element c of R and any right R-homomorphism g: cR→ R …

A ring R is called left IP-injective if every homomorphism from a left ideal of R into R with
principal image is given by right multiplication by an element of R. It is shown that R is left IP …

In this paper, we characterize strongly right C 2-rings in terms of finite-direct-injective
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …

A ring R is called right 2-simple injective if, for every 2-generated right ideal I of R, every R-
linear map from I to R with simple image extends to R. The class of right 2-simple injective …

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 …

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 …

It is well known that if every right ideal of a ring R is injective, then R is semi simple Artinian.
The object of this paper is to initiate the study of a class of rings in which each right ideal is …