International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

J- Semiprime Submodules

Nuhad Salim Al-Mothafar, 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