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J- Semiprime Submodules
Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 7)Publication Date: 2017-07-05
Authors : Nuhad Salim Al-Mothafar; Iman A. Athab;
Page : 1051-1053
Keywords : prime submodule; semiprime submodule; nearly semiprime submodule; weekly semiprime submodule;
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Abstract
Let R be a commutative ring with identity and N be a proper submodule N is called semiprime if whenever r^n xN, rR, xM, nZ^+, implies that rxN. In this paper we say that N is J-semiprime if whenever r^n xN+J (M), rR, xM, kZ^+, implies that rxN. We prove some result of this type of submodules
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