Semigroups derived from (Γ,n)-semihypergroups and T-functor
The main purpose of this paper is to introduce the concept of (Γ,n)-semihypergroups as a generalization of hypergroups, as a generalization of n-ary hypergroups and obtain an exact covariant functor between the category (Γ,n)-semihypergrous and the category semigroups. Moreover, we introduce and study complete part. Finally, we obtain some new results and some fundamental theorems in this respect.