GRADED SUBMODULES WITH PSEUDO IRREDUCIBLE, PSEUDO PRIME AND STRICTLY NON-PRIME COMPONENTS

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‎Let $G$ be a group with identity $e.$ Let $R$ be a $G$-graded‎ ‎commutative ring and $M$ a graded $R$-module‎. ‎In this paper‎, ‎we‎ ‎introduce several results concerning graded classical prime‎ ‎submodules‎. ‎For example‎, ‎we give a characterization of graded‎ ‎classical prime submodules‎. ‎Also‎, ‎the relations between graded‎ ‎classical prime and graded prime submodules of $M$ are studied‎.‎

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on graded classical prime and graded prime submodules

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ژورنال

عنوان ژورنال: International Journal of Pure and Apllied Mathematics

سال: 2014

ISSN: 1311-8080,1314-3395

DOI: 10.12732/ijpam.v97i1.4