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Research Paper | Mathematics | Iraq | Volume 6 Issue 7, July 2017

J- Semiprime Submodules

Nuhad Salim Al-Mothafar ^[2] | Iman A. Athab

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

Keywords: prime submodule, semiprime submodule, nearly semiprime submodule, weekly semiprime submodule

Edition: Volume 6 Issue 7, July 2017,

Pages: 1051 - 1053