WE-Prime Submodules and WE-Semi-Prime Submodules

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Saif A. Hussin
Haibt K. Mohammadali


"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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How to Cite
Hussin, S. A., & Mohammadali, H. K. (2018). WE-Prime Submodules and WE-Semi-Prime Submodules. Ibn AL- Haitham Journal For Pure and Applied Sciences, 31(3), 109–117. https://doi.org/10.30526/31.3.2000