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 …

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 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 …

A Note on Primary and Weakly Primary Submodules Page 1 EUROPEAN JOURNAL OF PURE
AND APPLIED MATHEMATICS Vol. 9, No. 1, 2016, 48-56 ISSN 1307-5543 –www.ejpam.com A …

In this paper, we introduce hollow modules with respect to an arbitrary submodule. Let M be
a non-zero module and T be a submodule of M. We say that M is aT-hollow module if every …

1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 22, No. 3, pp. 545–565,
June 2018 DOI: 10.11650/tjm/171102 Primitive Submodules, Co-semisimple and Regular …

In our previous work, we submitted a concept about small-singular submodules. In this
paper, we create a new concept, namely f-small submodules, this concept is an extension of …

The present study introduces the concept of J-pure submodules as a generalization of pure
submodules. We study some of its basic properties and by using this concept we define the …

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 …