ArticleOriginal scientific text
Title
Semigroups derived from (Γ,n)-semihypergroups and T-functor
Authors 1
Affiliations
- Department of Mathematics, Hormozgan University, Bandar Abbas, Iran
Abstract
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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Pages:
79-95
Main language of publication
English
Received
2015-01-22
Accepted
2015-02-25
Published
2015
DOI: 10.7151/dmgaa.1231
Exact and natural sciences