Abstract
In this paper the class of n-ary hypergroups is introduced and several properties are found andexamples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of Marty. On theother hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. We define thefundamental relation β* on an n-ary hypergroup H as the smallest equivalence relation such that H / β* isthe n-ary group, and then some related properties are investigated.
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