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 |
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Main Authors: | , |
Format: | Journal Article |
Language: | English |
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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". |
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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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StartPage | 109 |
SubjectTerms | weakly prime submodules, weakly semi-prime submodules |
Title | WE-prime submodules and WE-semi-prime submodules |
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