On graded classical prime and graded prime submodules

Authors

  • M. Jaradat Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan
Abstract:

‎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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Journal title

volume 41  issue 1

pages  217- 225

publication date 2015-02-01

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