Characterizations of (strongly) ordered regular relations on ordered semihypergroups (Q306527)
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scientific article; zbMATH DE number 6621110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of (strongly) ordered regular relations on ordered semihypergroups |
scientific article; zbMATH DE number 6621110 |
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Characterizations of (strongly) ordered regular relations on ordered semihypergroups (English)
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31 August 2016
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In this paper, the authors study the concept of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups. In particular, they construct an ordered regular equivalence relation on an ordered semihypergroup by hyperideals such that the corresponding quotient structure is also an ordered semihypergroup, which answers the open problem posed in [\textit{B. Davvaz} et al., Eur. J. Comb. 44, Part B, 208--217 (2015; Zbl 1308.06010)].
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ordered semihypergroup
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ordered regular relation
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ordered semilattice relation
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\(\rho\)-chain
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convex set
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hyperideal
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hyperfilter
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0.9553722
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0.9431392
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0.9413457
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