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.
Ordered semihypergroup completely prime hyperideal hyperfilter semilattice equivalence relation ≔ {( ) ∈ × | ∈ or ∉ } where runs over the completely prime
Journal Section | Mathematics |
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Authors | |
Publication Date | September 30, 2016 |
Published in Issue | Year 2016 Volume: 29 Issue: 3 |