The aim of this paper is to investigate properties of endo-prime and endo-coprime modules
which are generalizations of prime and simple rings, respectively. Various properties of …

There are various approaches to transfer the prime ideal notion to prime submodule. The
definition of primeness in modules have appeared in many ways. In this paper we define …

This paper aims to introduce the concepts of 𝑒∗-closed, 𝑒∗-coclosed, and 𝑒∗-extending
modules as generalizations of the closed, coclossed, and extending modules, respectively …

On 𝚭-Coessential Submodules and 𝚭-Coclosed Submodules Page 1 On 𝚭-Coessential
Submodules and 𝚭-Coclosed Submodules Amina T. Hamad1,a) and Alaa A. Elewi1,b) …

We introduce the notion of a strongly prime near-ring module and then characterize strongly
prime near-rings in terms of strongly prime modules. Furthermore, we define a T-special …

In this paper, we introduce and study some new generalizations of second submodules via a
function φ on the set of all submodules of a module. Let R be a ring with non-zero identity, M …

In this paper, we study the class of modules have the property that every pure submodule is
essential in a direct summand. These modules are termed as pure extending modules which …

Throughout this paper R represents an associative ring with identity and M is unitary right R-
module, the purpose of this paper is to study a new concept, named s-closed submodules. It …

The purpose of this paper is to introduce new concepts in a module over a ring, the first one
is called e*-small essential submodule, which is a generalization of the small submodule …

In this paper, the notion of fully idempotent modules is defined and it is shown that this
notion inherits most of the essential properties of the usual notion of von Neumann's regular …