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

Author

Govindarajan, Sakarapani

Subjects
*HYPERGROUPS, *GROUP theory, *JOIN spaces, *MATHEMATICS, *ABSOLUTE value
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 ρ is symmetric and reflexive, is analyzed here in the most general context.A necessary and sufficient condition on a ternary relation ρ 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. [ABSTRACT FROM AUTHOR]

Published
2016