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 …

Characterizations of closed subgroups in abelian groups have been generalized to modules
in essentially different ways; they are in general inequivalent. Here we consider the relations …

In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …

It is well known that a ring $ R $ is right Kasch if each simple right $ R $-module embeds in a
projective right $ R $-module. In this paper we study the dual notion and call a ring $ R …

It is well known that a ring R is right Kasch if each simple right R-module embeds in a
projective right R-module. In this paper we study the dual notion and call a ring R right dual …

In this survey article, we shall give some properties of classes of short exact sequences of
modules related with complement and supplement submodules; some of them form proper …

The main purpose of this thesis is to investigate the notion of strongly noncosingular
modules. We call a right R-module M strongly noncosingular if for every nonzero right R …

For a Quillen exact category CC endowed with two exact structures DD and EE such that E
⊆ DE⊆ D, an object X of CC is called E E-divisible (respectively E E-flat) if every short exact …

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 …