J. Korean Math. Soc. 2017; 54(2): 675-684
Online first article December 27, 2016 Printed March 1, 2017
https://doi.org/10.4134/JKMS.j160234
Copyright © The Korean Mathematical Society.
Khaldoun Al-Zoubi and Nisreen Sharafat
Jordan University of Science and Technology, Jordan University of Science and Technology
Let $G$ be a group with identity $e$ and let $R$ be a $G$-graded ring. In this paper, we introduce and study graded 2-absorbing primary and graded weakly 2-absorbing primary ideals of a graded ring which are different from 2-absorbing primary and weakly 2-absorbing primary ideals. We give some properties and characterizations of these ideals and their homogeneous components.
Keywords: graded 2-absorbing primary ideal, graded weakly 2-absorbing primary ideal, graded weakly primary ideal, graded primary ideal
MSC numbers: 13A02, 16W50, 13C11
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