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http://dx.doi.org/10.5666/KMJ.2017.57.4.559

On Graded 2-Absorbing and Graded Weakly 2-Absorbing Primary Ideals  

Soheilnia, Fatemeh (Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University)
Darani, Ahmad Yousefian (Department of Mathematics and Applications, University of Mohaghegh Ardabili)
Publication Information
Kyungpook Mathematical Journal / v.57, no.4, 2017 , pp. 559-580 More about this Journal
Abstract
Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper, we define the concept of graded 2-absorbing and graded weakly 2-absorbing primary ideals of commutative G-graded rings with non-zero identity. A number of results and basic properties of graded 2-absorbing primary and graded weakly 2-absorbing primary ideals are given.
Keywords
Graded rings; Graded primary ideals; Graded weakly primary ideals; Graded 2-absorbing primary ideals; Graded weakly 2-absorbing primary ideals;
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Times Cited By KSCI : 2  (Citation Analysis)
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