On order and quasi order Γ-semihypergroups

Document Type : Original Paper

Authors

1 Department of Mathematics, Faculty of Basic Science, Hormozgan University, Bandar Abbas, Iran

2 Department of Mathematics, Faculty of Mathematic Science, Yazd University, Yazd, Iran

Abstract

The Γ–hyperstructres algebraic are generalization of hypestructures algebraic and classical structures. One of them is Γ –semihypergroup that is a generalization of semihypergroups and semigroup. In this paper, we introduce the concept of quasi order Γ-semihypergroup and order Γ-semihypergroup as a generalization of quasi order semihypergroup and order semihypergroup, respectively. Also, we characterize quasi order Γ-semihypergroup by quasi order relation and introduce complete pats and fundamental relation in quasi order Γ-semihypergroup. Finally, we construct quasi order semihypergroup and order semihypergroup by quasi order Γ-semihypergroup and order Γ-semihypergroup.

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References

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Journal of Advanced Mathematical Modeling
Volume 12, Issue 3
November 2022
Pages 323-335

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History

  • Receive Date: 08 May 2021
  • Revise Date: 01 August 2022
  • Accept Date: 20 August 2022

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