• Title/Summary/Keyword: Corsini hypergroup

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ON CORSINI HYPERGROUPS AND THEIR PRODUCTIONAL HYPERGROUPS

  • Al Tahan, M.;Davvaz, B.
    • Korean Journal of Mathematics
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    • v.27 no.1
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    • pp.63-80
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    • 2019
  • 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.