Let R be a ring and M be an R-module. M is said to be an E-module (respectively, an EE-
module) if M has a supplement (respectively, ample supplements) in every coatomic …

Let M be an R-module, where R is commutative ring with unity. In this paper we study the
behavior of strongly hollow and quasi hollow submodule in the class of strongly …

Let R be a ring. JS-injective right R-modules are introduced and studied in this paper as a
generalization of small-injective right R-modules. Let N and M be right R-modules. A module …

In this paper, we study a module which is lifting and supplemented relative to a module
class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules …

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) …

Let ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

Let R be a ring and. M be a left R-module. M is called generalized circle plus-supplemented
if every submodule of M has a generalized supplement that is a direct summandof M. In this …

A submodule Ϝ of an R-module Ε is called small in Ε if whenever, for some submodule W of
Ε, implies. In this paper, we introduce the notion of Ζ-small submodule, where a proper …

r-Small Submodules Page 1 Conference Proceeding Science and Technology, 3(1), 2020,
33–36 Conference Proceeding of 3rd International E-Conference on Mathematical …

Let R be an associative ring with identity, and let M be a unital left R-module, M is called
totally generalized* cofinitely supplemented module for short (TG* CS), if every submodule …