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

M. Al Tahan, Bijan Davvaz

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.

Keywords


Corsini hypergroup, Fundamental group.

Subject classification

20N20.

Sponsor(s)



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