The main goal of this paper is to introduce a new class in the category of modules. It is called
quasi-invertibility monoform (briefly QI-monoform) modules. This class of modules is a …

In this study, the concept of m-projective modules is introduced. A right R-module M is said
to be m-projective if Ext (M, N)= 0 for any m-injective right R-module N. We prove that every …

In this paper, we introduce the notion of t-epi-modules. An R-module M is called t-epi if every
t-closed submodule of M is a homomorphic image of M. Various properties of these modules …

Let C be a class of some finitely presented left R-modules. A left R-module M is called C-
injective, if Ext R 1 (C, M)= 0 for each C∈ C. A right R-module M is called C-flat, if Tor 1 R …

In this work, cofinitely essential supplemented modules are defined and some properties of
these modules are investigated. All rings will be associative with identity and all modules will …

Let R be a ring. Recall that a left R-module M is coherent if every finitely generated
submodule of M is finitely presented. R is a left coherent ring if the left R-module RR is …

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 …

According to Bourbaki [1, pp. 62–63, Exercise 11], a left (resp. right) A-module M is said to
be pseudo-coherent if every finitely generated submodule of M is finitely presented, and is …

A quasi-dual bimodule SMR can be characterized as every essential submodule K of MR
and every essential left ideal L of S which satisfy rMlS (K)= K and lSrM (L)= L respectively …