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Hypergroups Associated With Ternary Relations And The Associated Join Space Of The Spherical Geometry

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2016

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
The paper deals with hypergroupoids obtained from ternary relations.The correspondence between ternary relation and hypergroups, studied by the author, especially in the case when the relation p is symmetric and reflexive, is analyzed here in the most general context.A necessary and sufficient condition on a ternary relation p is obtained for the associated hypergroupoid to be a hypergroup or a join space. Extension of a hyperoperation associated with a ternary relation being employed to obtain a associated join space of the spherical geometry.
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