Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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
Subjects

Volume 41, Issue 1 - Serial Number 1
February 2015
Pages 217-225

  • Receive Date 21 September 2013
  • Revise Date 29 December 2013
  • Accept Date 01 January 2014