Enumeration of \(3\)- and \(4\)-hypergroups on sets with two elements.

DOI10.1016/j.ejc.2014.08.016zbMath1308.20066OpenAlexW1988867019MaRDI QIDQ477737

M. B. Safari, Bijan Davvaz, Violeta Leoreanu Fotea

Publication date: 9 December 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2014.08.016

zbMATH Keywords

\(n\)-groupsfinite hypergroups\(n\)-hypergroups

Mathematics Subject Classification ID

(n)-ary systems ((nge 3)) (20N15) Hypergroups (20N20)

Related Items (3)

Unnamed Item ⋮ Enumeration of n-hypergroups on sets with two elements ⋮ The number of labeled \(n\)-ary abelian groups and totally symmetric medial quasigroups

Cites Work

• \(n\)-ary \(H_v\)-structure.
• Around the Hosszú-Gluskin theorem for \(n\)-ary groups.
• Application of fundamental relations on \(n\)-ary polygroups.
• On probabilistic \(n\)-ary hypergroups.
• A Generalization ofn-Ary Algebraic Systems
• NEUTRAL ELEMENTS, FUNDAMENTAL RELATIONS AND n-ARY HYPERSEMIGROUPS
• Polygroup Theory and Related Systems
• Representations of Menger (2,n)-Semigroups by Multiplace Functions
• Remarks to Głazek's results on n-ary groups
• Bi-Element Representations of Ternary Groups^#
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