On the Hypergroups Associated with $n$-ary Relations

S. Govindarajan, G. Ramesh

Abstract


The paper deals with hypergroupoids associated with $n$-ary $3n\ge 35$ relations. We give necessary and sufficient condition for an $n$-ary relation such that the hypergroupoid associated with it is a hypergroup or a joinspace. First we analyze for sufficient condition using ternary relation such that the hypergroupoid associated with it is a hypergroup or a joinspace and then we generalize it for an $n$-ary relation.

Keywords


$n$-ary relations; Hypergroups; Joinspces

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DOI: http://dx.doi.org/10.26713%2Fjims.v6i2.244

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