Abstract A module M_R is called Pseudo PQ-injective (or PPQ-injective for short) if every
monomorphism from a principal submodule of M to M extends to an endomorphism of M …

Let M be a right R-module with S= End (MR). Then MR is called pseudo QP-injective (or P
QP-injective for short) if every monomorphism from an M-cyclic submodule of M to M extends …

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 …

A generalization of continuous modules, noted EMC modules is studied. If M is an EMC left
A-module, E= End (AM), then E/J (E) is a von Neumann regular ring, where J (E) is the …

In this paper, we introduce a general form of pseudo-p-injectivity. Let be a right-module
and=(), its endomorphism ring. A right-module is called a generalized-pseudo-Mp-injective …

A right R-module N is called pseudo M-injective if for any submodule A of M, every
monomorphism from A to N, can be extended to a homomorphism from M to N. Module M is …

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly,
SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N …

Abstract A right R-module M is called semi-projective if, for any submodule N of M, every
epimorphism\pi: M\rightarrow N and every homomorphism\alpha: M\rightarrow N, there …

Let M be a right R− module. A right R− module N is called small pseudo principally M−
injective (briefly, small PP M−− injective) if, every R− monomorphism from a small and …

In 2010, Sanh et al. introduced a class of pseudo-M-gp-injective modules, following this, a
right R-module N is called pseudo-M-gp-injective if for any homomorphism 0= α∈ End (M) …