Enumeration of Rosenberg hypergroups.

DOI10.1016/j.camwa.2010.09.027zbMath1207.20064OpenAlexW2031344955MaRDI QIDQ630655

Morteza Jafarpour, Irina Cristea, Ali Soleymani, Seyed Sh. Mousavi

Publication date: 19 March 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.027

zbMATH Keywords

binary relationsnumbers of hypergroupsmutually associative hypergroupsRosenberg hypergroups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Hypergroups (20N20)

Related Items (6)

Advanced results in enumeration of hyperfields ⋮ Enumeration of n-hypergroups on sets with two elements ⋮ On dihedral hypergroups. ⋮ On Strongly Associative (Semi)Hypergroups ⋮ A class of semihypergroups connected to preordered weak \(\Gamma\)-semigroups. ⋮ ASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES

Uses Software

• HyperGroupTest
• BinaryTest

Cites Work

• Enumeration of Rosenberg-type hypercompositional structures defined by binary relations.
• About the fundamental relations defined on the hypergroupoids associated with binary relations.
• Binary relations and reduced hypergroups.
• Discrete transformation hypergroups and transformation hypergroups with phase tolerance space.
• Hypergroups and \(n\)-ary relations.
• Relations on Krasner \((m,n)\)-hyperrings.
• Hypergroupoids determined by lattices.
• On enumeration of hypergroups of order 3.
• Join space graphs
• Hypergroups and binary relations
• Hyperstructures associated with binary relations
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