Geodesic
Semigroups derived from (Γ,n)-semihypergroups and T-functor
Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 1, pp. 79-95

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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.
Keywords: (Γ,n)-semihypergroup, Θ-relation, T-fuctor, fundamental semigroup 
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Ostadhadi-Dehkordi, S. Semigroups derived from (Γ,n)-semihypergroups and T-functor. Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 1, pp. 79-95. http://geodesic.mathdoc.fr/item/DMGAA_2015_35_1_a6/