Title | ||
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Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder. |
Abstract | ||
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It is well known that if (S,∘) is a semihypergroup and ρ is a strongly regular relation on S, then S/ρ, the set of equivalence classes, is a semigroup with the binary operation: ρ(x)⊙ρ(y)=ρ(z) for all z∈x∘y. Now, let (S,∘,≤) be an ordered semihypergroup. The following question is natural: Is there a strongly regular relation ρ on S for which S/ρ is an ordered semigroup? One of our main aim in this paper is reply to the above question. Then, we study some properties and isomorphisms between them. |
Year | DOI | Venue |
---|---|---|
2015 | 10.1016/j.ejc.2014.08.006 | European Journal of Combinatorics |
Field | DocType | Volume |
Ordered semigroup,Combinatorics,Isomorphism,Equivalence class,Semigroup,Mathematics,Binary operation | Journal | 44 |
Issue | ISSN | Citations |
PB | 0195-6698 | 0 |
PageRank | References | Authors |
0.34 | 1 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bijan Davvaz | 1 | 0 | 4.06 |
P. Corsini | 2 | 0 | 0.34 |
T. Changphas | 3 | 0 | 0.34 |