Korean J. Math. Vol. 27 No. 1 (2019) pp.63-80
DOI: https://doi.org/10.11568/kjm.2019.27.1.63

On Corsini hypergroups and their productional hypergroups

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Published: Mar 30, 2019
Keywords:
Corsini hypergroup, Fundamental group.
Mathematics Subject Classification:
20N20.

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M. Al Tahan
Department of Mathematics, Lebanese International University, Bekaa, Lebanon
Bijan Davvaz
Department of Mathematics, Yazd University, Yazd, Iran

Abstract

In this paper, we consider a special hypergroup defined by Corsini and we name it Corsini hypergroup. First, we investigate some of its properties and find a necessary and sufficient condition for the productional hypergroup of Corsini hypergroups to be a Corsini hypergroup. Next, we study its regular relations, fundamental group and complete parts. Finally, we characterize all Corsini hypergroups of orders two and three up to isomorphism.


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References

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