On graded classical prime and graded prime submodules

Document Type : Research Paper

Authors

1 Jordan University of Science and Technology

2 Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan

3 Yarmouk University, 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.‎

Keywords

Main Subjects