?-Primary Submodules
Abstract: Let R be a commutative ring with identity and M be a unitary R-module. Let (M) be the set of all submodules of M, and (M) (M) {} be a function. We say that a proper submoduleP of M is -primary if for each r R and x M, if rx P, then either x P + (P) orr^n M P + (P) for some nZ+. Some of the properties of this concept will be investigated. Some characterizations of -primesubmodules will be given, and we show that under some assumptions primesubmodules and -primarysubmodules are coincide.
Keywords: Prime submodule, Primary submodules, -primesubmodules
How to Cite?: Nuhad S.AL-Mothafar, Adwia J.Abdil.Al-Khalik, "?-Primary Submodules", Volume 6 Issue 4, April 2017, International Journal of Science and Research (IJSR), Pages: 1115-1120, https://www.ijsr.net/getabstract.php?paperid=ART20172269, DOI: https://dx.doi.org/10.21275/ART20172269