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Research Paper | Mathematics | Volume 7 Issue 1, January 2018 | Pages: 796 - 799 | Iraq
Z-Nearly Prime Submodules
Abstract: Let R be a commutative ring with identity and N be a proper submodule N of R-moduLe M is called prime if whenever rxN, rR, xM, implies either xN or r [NM]. In this paper we say that N is Z-nearly prime submodule of R-moduLe M, if whenever fM^*=Hom (M, R), x M such that f (x) x N, then either x N+J (M) or f (x) [N+J (M) M], J (M) is the Jacobson radical of M. We prove some result of this type of submodules
Keywords: prime submodule, Z-prime submodule, nearly prime submodule, nearly regular module
How to Cite?: Nuhad Salim Al-Mothafar, "Z-Nearly Prime Submodules", Volume 7 Issue 1, January 2018, International Journal of Science and Research (IJSR), Pages: 796-799, https://www.ijsr.net/getabstract.php?paperid=ART20179321, DOI: https://dx.doi.org/10.21275/ART20179321