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?-Primary Submodules

Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 4)

Publication Date:

Authors : ; ;

Page : 1115-1120

Keywords : Prime submodule; Primary submodules; -primesubmodules;

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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.

Last modified: 2021-06-30 18:32:29