Article ID Journal Published Year Pages File Type
4583957 Journal of Algebra 2016 14 Pages PDF
Abstract

In this paper, we introduce the concept of ordered regular (strongly ordered regular) equivalence relation on an ordered semihypergroup. Moreover, we use hyperfilters to construct a strongly ordered regular equivalence relation on an ordered semihypergroup, for which the corresponding quotient structure is a semilattice. Finally, we construct an ordered regular equivalence relation on an ordered semihypergroup by hyperideals such that the corresponding quotient structure is also an ordered semihypergroup under a related order relation, which is an answer to the open problem given by B. Davvaz, P. Corsini and T. Changphas in European Journal of Combinatorics.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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