On Locally S-prime and Locally S-Primary Submodules

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Adil Kadir Jabbar
Payman Mahmood Hamaali
Abdullah M. Abdul-Jabbar

Abstract

 Throughout this article, we present locally prime, locally primary and locally S-semiprime submodules, as generalizations of prime, primary and semiprime submodules respectively. We investigate some properties and characterizations of these modules. For a multiplication module, the concepts of locally primary and locally primary are equivalent. Finally, we give the following result, if  is multiplication module, then  is locally primary submodule, if there exists a locally primary ideal of  such that  and . We provided that, every locally semiprime submodule of multiplication module is the intersection of some locally prime submodule.

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How to Cite
[1]
“On Locally S-prime and Locally S-Primary Submodules”, JUBPAS, vol. 27, no. 3, pp. 165–177, Jun. 2019, Accessed: Mar. 28, 2024. [Online]. Available: https://journalofbabylon.com/index.php/JUBPAS/article/view/2375
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Articles

How to Cite

[1]
“On Locally S-prime and Locally S-Primary Submodules”, JUBPAS, vol. 27, no. 3, pp. 165–177, Jun. 2019, Accessed: Mar. 28, 2024. [Online]. Available: https://journalofbabylon.com/index.php/JUBPAS/article/view/2375

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