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 …

In this paper we study MC-pseudo injective module which is the generalization of pseudo
injective module and we give an example of MC-pseudo injective module which is not M …

Let R be a ring and M a right R-module with S= End (MR). The module M is called almost
principally quasi-injective (or APQ-injective for short) if, for any m∈ M, there exists an S …

Let R be a ring and M a right R-module with S= end (M< sub> R). Then M is called general
quasi-injective (briefly GQP-injective) if for any 0≠ s∈ S, there exists a positive integer n …

In this paper modules with ascending chain condition (acc)(respectively, with descending
chain conditon (dcc)) on essential submodules are investigated: Finitely generated quasi …

In this paper, the concept of quasi-pseudo principally injective modules is introduced and a
characterization of commutative semi-simple rings is given in terms of quasi-pseudo …

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 …

In this paper, we generalize the concept of direct-injective modules to fi nite-direct-injective
modules. Various basic properties of these modules are studied. We show that the class of fi …

Let R be a ring. R is called right AP-injective if, for any a∈ R, there exists a left ideal of R
such that lr (a)= Ra (?) Xa. We extend this notion to modules. A right. R-module M with 5 …

Let M1 and M2 be two R-modules. Then M2 is called M1-c-injective if every homomorphism
α from K to M2, where K is a closed submodule of M1, can be extended to a homomorphism …