Title
Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder.
Abstract
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 Davvaz104.06
P. Corsini200.34
T. Changphas300.34