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

How to Cite?: Nuhad Salim Al-Mothafar, Iman A. Athab, "J- Semiprime Submodules", Volume 6 Issue 7, July 2017, International Journal of Science and Research (IJSR), Pages: 1051-1053, https://www.ijsr.net/getabstract.php?paperid=ART20175463, DOI: https://dx.doi.org/10.21275/ART20175463