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 …

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 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 …

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) …

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 R be a ring. A right R− module M is called quasi-principally injective if it is M− principally
inj ective. In this paper, we give some characterizations and properties of principally inj …

We investigate characterizations of rings whose simple singular right R-modules are GP-
injective. It is proved that if R is a semiprime ring whose simple singular right R-modules are …

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

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 …

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 …