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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1231,
author = {S. Ostadhadi-Dehkordi},
title = {Semigroups derived from ($\Gamma$,n)-semihypergroups and T-functor},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {35},
year = {2015},
pages = {79-95},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1231}
}
S. Ostadhadi-Dehkordi. Semigroups derived from (Γ,n)-semihypergroups and T-functor. Discussiones Mathematicae - General Algebra and Applications, Tome 35 (2015) pp. 79-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1231/
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