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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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
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Abstract 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".
AbstractList "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".  
"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".  
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".
Author Ali, Haibt K. Muhammad
Husayn, Sayf A.
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Snippet 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...
"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...
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SubjectTerms weakly prime submodules, weakly semi-prime submodules
Title WE-prime submodules and WE-semi-prime submodules
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