In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

The main objective of this paper is investigating centrally (quasi-) morphic modules as a
generalization of centrally morphic rings. We call an R-module M centrally quasi-morphic if …

A module M is called a simple-direct-injective module if, whenever A and B are simple
submodules of M with A≅ B and B is a direct summand of M, then A is a direct summand of …

We prove that a ring R has a module M whose domain of projectivity consists of only some
injective modules if and only if R is a right noetherian right V-ring. Also, we consider …

    A right module M is called direct-injective (or C2) if every submodule
isomorphic to a summand of M is itself a summand. Dually, a module M is called direct …

A right module M is called direct-injective (or C2) if every submodule isomorphic to a
summand of M is itself a summand. Dually, a module M is called direct-projective (or D2) if …

In this thesis, we study on simple-direct-injective and simple-direct-projective modules. We
give a complete characterization of the aforementioned modules simple-direct-injective and …