e*-Essential Submodule

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4215

Keywords:

Essential submodule, Small submodule, e*-essential submodule, Noetherian $R$-module

Abstract

The purpose of this paper is to introduce a new concept in a module M over a ring R, this concept is called e∗-essential submodule, which is a generalization of an essential submodule. We will introduce some examples and properties about this concept such that, what is the inverse image of e∗-essential submodule, the intersection of e∗-essential submodules and direct sum of e∗-essential submodules. We will show the relationship between e∗-essential submodule and Noetherian R-module. Also we will define e∗-closed submodule with some properties

Author Biography

  • Hiba Baanoon, Baghdad University
    Math. department

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Published

2022-01-31

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

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How to Cite

e*-Essential Submodule. (2022). European Journal of Pure and Applied Mathematics, 15(1), 224-228. https://doi.org/10.29020/nybg.ejpam.v15i1.4215