A SHORT NOTE ON THE RELATION N IN‎‎ ORDERED SEMIHYPERGROUPS

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

Semihypergroups

Abstract

References

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