Hypergroups and \(n\)-ary relations.

DOI10.1016/j.ejc.2009.07.005zbMath1194.20068OpenAlexW1976533429MaRDI QIDQ966135

Irina Cristea, Mirela Ştefănescu

Publication date: 27 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.07.005

zbMATH Keywords

hypergroupshypergroupoids\(H_v\)-groups\(n\)-ary relationsjoin spaces

Mathematics Subject Classification ID

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

Related Items (15)

Unnamed Item ⋮ Semihypergroups associated with ternary relations ⋮ Semilattice strongly regular relations on ordered \(n\)-ary semihypergroups ⋮ Unnamed Item ⋮ About the fundamental relations defined on the hypergroupoids associated with binary relations. ⋮ Transitivity of \(\rho _\mathfrak {R}\) relations in hyperrings using geometric spaces ⋮ Enumeration of Rosenberg hypergroups. ⋮ Relations and homomorphisms of \(n\)-hypergroups. ⋮ On dihedral hypergroups. ⋮ Path hypergroupoids: commutativity and graph connectivity. ⋮ On \(EL\)-semihypergroups. ⋮ Fundamental relations in multialgebras. Applications. ⋮ EL-hyperstructures associated to \(n\)-ary relations ⋮ Construction of TernaryH_v-groups and TernaryP-hyperoperations ⋮ Menger hyperalgebras and their representations

Cites Work

• \(n\)-hypergroups and binary relations.
• Binary relations and reduced hypergroups.
• Binary relations, interval structures and join spaces
• Hypergroups and binary relations
• Hypergraphs and hypergroups
• Hyperstructures associated with binary relations
• Ternary structures and groupoids
• Pseudodimension of relational structures
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