- Gazi University Journal of Science
- Vol: 29 Issue: 3
- A SHORT NOTE ON THE RELATION N IN ORDERED SEMIHYPERGROUPS
A SHORT NOTE ON THE RELATION N IN ORDERED SEMIHYPERGROUPS
Authors : Bijan Davvaz, Saber Omidi
Pages : 659-662
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Publication Date : 2016-09-30
Article Type : Other
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