Hypergroups Associated with Ternary Relations and the Associated Join Space of the Spherical Geometry

Authors

  • S. Govindarajan Department of Mathematics A.V.C.College(Autonomous), Mannampandal,

Keywords:

Ternary relations, Hypergroups, Join spaces, Spherical Geometry, Associated join space.

Abstract

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 is symmetric and reflexive, is analyzed here in the most general context. A necessary and sufficient condition on a ternary relation R 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.

Author Biography

  • S. Govindarajan, Department of Mathematics A.V.C.College(Autonomous), Mannampandal,

     

    Associate Professor

    Department of Mathematics
    A.V.C.College(Autonomous),
    Mannampandal,

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Published

2016-10-30

Issue

Vol. 9 No. 4: (October 2016)

Section

Industrial and Managerial Mathematics

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Hypergroups Associated with Ternary Relations and the Associated Join Space of the Spherical Geometry. (2016). European Journal of Pure and Applied Mathematics, 9(4), 367-382. https://ejpam.com/index.php/ejpam/article/view/2515