Downloading: Z-Nearly Prime Submodules
International Journal of Science and Research (IJSR)

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

ISSN: 2319-7064

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Z-Nearly Prime Submodules

Nuhad Salim Al-Mothafar

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