Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and “…

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 …

In the present paper, we study simple-direct-injective modules and simple-direct-projective
modules over a formal matrix ring $$K=\left(\begin{matrix}R&M\\ N&S\end{matrix}\right)$$ , …

The notion of simple-direct-injective modules which are a generalization of injective modules
unifies $C2$ and $C3$-modules. In the present paper, we introduce the notion of the …

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 M. …

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 direct …

The notion of simple-direct-injective modules which are a generalization of injective modules
unifies C2 and C3-modules. In the present paper, we introduce the notion of the semisimple…

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 modules …