Let R be a ring. In this note we study some properties of principally quasi-injective strongly
Kasch R-modules and show that if MR is a principally quasi-injective strongly Kasch module …

Let R be a ring. In this note we study some properties of finitely generated quasi p-injective
Kasch R− modules and show that if MR is a finitely generated quasi p-injective Kasch …

Let R be a ring. For two fixed positive integers m and n, an R-module M is called (m, n)-quasi-
injective if each R-homomorphism from an n-generated submodule of Mm to M extends to …

We carry out a study of modules MR satisfying the property that every module in σ [M] is a
Kasch module. Such modules are called fully Kasch. Several sufficient conditions for a …

Let R be a ring. A right R-module N is called an Mp-injective module if any homomorphism
from an M-cyclic submodule of M can be extended to M. In this paper, we extend this notion …

Let R be a ring. A right R-module M is called p-injective if every homomorphism from a
principal right ideal of R to M can be given by a left multiplication. A ring R is called a right …

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 …

The purpose of this work is to investigate some more property of Q-finitely injective modules
and generalize this idea to Q-small finitely injective modules. A quasi-f-injective module Q is …

For a given right R-module M, a right R-module N is called pseudo-M-pinjective if every
monomorphism from an M-cyclic submodule X of M to N can be extended to a …

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 …