Neat subgroups of abelian groups have been generalized to modules in essentially two
different ways (corresponding to (a) and (b) in the Introduction); they are in general …

Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …

An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

In this article, we study several relationships about injective module over Dedekind domain.
We prove that every divisible module over DVR is injective. Also, any pseudo injective …

The main object of this paper is to study relative homological aspects as well as further
properties of τ-closed submodules. A submodule N of a module M is said to be τ-closed (or τ …

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 study MC-pseudo injective module which is the generalization of pseudo
injective module and we give an example of MC-pseudo injective module which is not M …

Let R be a commutative ring with identity. A short exact sequence E of R-modules is said to
be neat (respectively, P-pure) if the sequence Hom R (S, E)(respectively, S⊗ RE) is exact for …

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 …

Let R be a ring. A right R-module M is said to be neat-flat if the kernel of any epimorphism Y-
> M is neat in Y, ie, the induced map Hom (S, Y)-> Hom (S, M) is surjective for any simple …