WE-prime submodules and WE-semi-prime submodules

In this article, "we introduce the concept of a WE-Prime submodule", as a stronger form of a weakly prime submodule. And as a "generalization of WE-Prime submodule, we introduce the concept of WE-Semi-Prime submodule, which is also a stronger form of a weakly semi-prime submodule. Var...

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Bibliographic Details
Published in:	Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 31; no. 3; pp. 109 - 117
Main Authors:	Husayn, Sayf A., Ali, Haibt K. Muhammad
Format:	Journal Article
Language:	English
Published:	Baghdad, Iraq University of Baghdad, College of Education for Pure Science / Ibn al-Haitham 13-11-2018 University of Baghdad
Subjects:	weakly prime submodules, weakly semi-prime submodules
Online Access:	Get full text
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Summary:	In this article, "we introduce the concept of a WE-Prime submodule", as a stronger form of a weakly prime submodule. And as a "generalization of WE-Prime submodule, we introduce the concept of WE-Semi-Prime submodule, which is also a stronger form of a weakly semi-prime submodule. Various basic properties of these two concepts are discussed. Furthermore, the relationships between "WE-Prime submodules and weakly prime submodules"and studied. On the other hand, the relation between WE-Prime submodules and WE- Semi - Prime submodules are consider."Also"the relation of "WE – Sime - Prime submodules and weakly semi-prime submodules" are explained. Behind that, some characterizations of these concepts are investigated".
ISSN:	1609-4042 2521-3407
DOI:	10.30526/31.3.2000