Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2016.11.26
  • Accepted : 2017.11.16
  • Published : 2017.12.23
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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.

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References

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