Abstract
We associate to every hypergraphГ a commutative quasi-hypergroupH qG and find a necessary and sufficient condition onГ so thatH Г is associative. For certainГ, any finiteГ included, we determine a sequenceГ=Г 0, Г1,⋯, Гn of hypergraphs such that ifH 0 ,H 1 ,H⋯, H n is the sequence of the associated quasi-hypergroups,H n is a join space.
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Corsini, P. Hypergraphs and hypergroups. Algebra Universalis 35, 548–555 (1996). https://doi.org/10.1007/BF01243594
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DOI: https://doi.org/10.1007/BF01243594