A SHORT NOTE ON THE RELATION N IN‎‎ ORDERED SEMIHYPERGROUPS

Authors : Bijan DAVVAZ, Saber OMİDİ

Pages : 659-662

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Publication Date : 2016-09-30

Article Type : Other Papers

Abstract :Let  be an ordered semihypergroup and ‎. ‎We denote by  the hyperfilter of  generated by . ‎Define an equivalence relation  on ‎. ‎In this note‎, ‎we show that  is the intersection of the relations‎‎ or , ‎where  runs over the completely prime hyperideals of . ‎Moreover‎, ‎we give some results on ordered semihypergroups‎.
Keywords : Ordered semihypergroup, completely prime hyperideal, hyperfilter, semilattice equivalence relation ≔, , ∈ ×, ∈ or, ∉, where runs over the completely prime