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
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science
Cited by
4 articles.
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1. Ejectivity and goldie-extending modules;AIP Conference Proceedings;2024
2. $e^{*}$-Lifting Modules;Missouri Journal of Mathematical Sciences;2023-11-01
3. On $\boldsymbol{e^{*}}$-supplemented Modules;Missouri Journal of Mathematical Sciences;2023-05-01
4. e*-Essential Small Submodules and e*-Hollow Modules;European Journal of Pure and Applied Mathematics;2022-04-30