(i; j)-ASSOCIATIVITY LAW IN n-ARY HYPERGROUPOIDS

In this paper, the class of n-ary hypergroupoids is introduced and several properties are found. n-ary hypergroups are a generalization of D¨ornte n-ary groups and a generalization of hypergroups in the sense of Marty. Also, We obtain some conditions on an n-ary hypergroupoid H, such that H is an n-ary semihypergroup