Open Accesse*-Essential Submodule
Author(s) -
Hiba Baanoon,
Wasan Khalid
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i1.4215
Subject(s) - mathematics , generalization , noetherian , intersection (aeronautics) , pure mathematics , ring (chemistry) , discrete mathematics , algebra over a field , mathematical analysis , chemistry , organic chemistry , engineering , aerospace engineering
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