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Bulletin of the Iranian Mathematical Society

, Volume 45, Issue 6, pp 1681–1695 | Cite as

On the Center of a Hypergroupoid

  • Mahmood PourgholamhosseinEmail author
  • Mahmoud Kazemi Hokmabad
Original Paper
  • 25 Downloads

Abstract

In this paper, we define the center of a hypergroupoid and investigate its properties. We also define isomorphism action on groupoids and show that for some particular groupoid \(\mathbb {G} \), the center of hypergroupoid \(\mathbb {G}^\mathbb {G}\) consists of all \( x^\mathbb {G} \), where x is in the center of \(\mathbb {G}\).

Keywords

Hypergroupoid Center of groupoid Center of hypergroupoid Action on groupoid Isomorphism action 

Mathematics Subject Classification

22A22 20L05 20LXX 43A62 

Notes

Acknowledgements

We would like to thank Dr. Seyyed Mohammad Tabatabaie and the referee(s) for their valuable comments and suggestions, which helped us to considerably improve the manuscript.

References

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Copyright information

© Iranian Mathematical Society 2019

Authors and Affiliations

  • Mahmood Pourgholamhossein
    • 1
    Email author
  • Mahmoud Kazemi Hokmabad
    • 2
  1. 1.Department of Mathematics, Faculty of ScienceUniversity of QomQomIran
  2. 2.Department of MathematicsUniversity of QomQomIran

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