Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON CORSINI HYPERGROUPS AND THEIR PRODUCTIONAL HYPERGROUPS

  • Al Tahan, M. (Department of Mathematics Lebanese International University) ;
  • Davvaz, B. (Department of Mathematics Yazd University)
  • Received : 2018.08.31
  • Accepted : 2019.02.04
  • Published : 2019.03.30
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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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