The aim of this study is to present the concept of closed-small submodule and closed-hollow
module as generalization of small and hollow concepts respectively. As evidence, attributes …

The aim of this study is to present the concept of closed-small submodule and closed-hollow
module as generalization of small and hollow concepts respectively. As evidence, attributes …

The main goal of this paper is to give a new generalizations for two important classes in the
category of modules, namely the class of small submodules and the class of hollow …

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 …

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 …

In this work, we introduce and study the concept of small-singular submodules as a
generalization of the singular submodules. A number of properties and characterization of …

In this paper we introduce a generalization of M-small modules and discuss about the
torsion theory cogenerated by this kind of modules in category. We will use the structure of …

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 …

The main goal of this article is to present new concept of module theory in order to study
small submodules based on the Radical of module. Depending on the relevance between …

The goal of this research is to introduce the concepts of Large-small submodule and Large-
hollow module and some properties of them are considered, such that a proper submodule …