A module MR is called pseudo FQ-injective (or PFQ-injective for short) if every
monomorphism from a finitely generated submodule of M to M extends to an endomorphism …

Let M and N be two modules. M is called essentially pseudo N-injective if for any essential
submodule A of N, any monomorphism f: A → M f: A→ M can be extended to some g ∈ Hom …

Every QP-injective module is QPP-injective but the converse need not be true. We
investigate sufficient conditions for QPP-injective modules to be QP-injective. We show that …

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 …

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 …

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 …

We introduce the notion of almost pseudo-injective modules (AP-injective modules), which
generalizes the idea of pseudo-injective and almost injective modules. In support, we …

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 module M is said to be generalized quasi-principally injective (briefly, GQP-
injective)(resp., generalized almost quasi-principally injective (briefly, generalized AQP …

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 …