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 …

In this work, the notion of pseudo-injectivity relative to a class of submodules (namely,
closed pseudo-injectivity) has been introduced and studied, which is a proper generalization …

It is well known that a countably injective module is Σ-injective. In [KI Beidar, SK Jain, Ashish
K. Srivastava, New characterization of Σ-injective modules, Proc. Amer. Math. Soc. 316 …

A pure-injective module M is said to be pi-indigent if its subinjectivity domain is smallest
possible, namely, consisting of exactly the absolutely pure modules. A module M is called …

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

The concept of a module M being almost N-injective where N is some module, was
introduced by Baba (1989). For a given module M, the class of modules N, for which M is …

Let> M and N be two R-modules. NR is called singular Mp-injective if for every singular M-
cyclic submodule X of MR, every homomorphism from X to N can be extended to a …

Quasi-principally injective modules were studied in [12]. In this note we introduce the
concept dual to quasi-principally injective modules. It is proved that. these modules are …

The purpose of this dissertation is to study weakly projective modules, a concept dual to that
of weakly injective modules. Let M and N be right R-modules. M is called weakly N …