Around the Hosszú-Gluskin theorem for \(n\)-ary groups.

DOI10.1016/J.DISC.2007.09.005zbMath1153.20050DBLPjournals/dm/DudekG08arXivmath/0510185OpenAlexW1972591272WikidataQ56060118 ScholiaQ56060118MaRDI QIDQ947805

Kazimierz Głazek, Wiesław A. Dudek

Publication date: 7 October 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510185

zbMATH Keywords

general algebraretracts\(n\)-groupsHosszú-Gluskin theorem\(\mathcal D\)-independence

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) (n)-ary systems ((nge 3)) (20N15) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (27)

On the Automorphisms and Representations of Polyadic Groups ⋮ Relations between G-sets and their associate G^{hat}-sets ⋮ Unnamed Item ⋮ Fuzzy Krasner \((m,n)\)-hyperrings. ⋮ An alternative method for construction of free polyadic groups ⋮ Representation theory of polyadic groups. ⋮ On \((n,m)\)-semigroups. ⋮ The number of labeled \(n\)-ary abelian groups and totally symmetric medial quasigroups ⋮ Reductions for vector \((n,m)\)-presentations of \((n,m)\)-semigroups. ⋮ Unnamed Item ⋮ Equations in polyadic groups ⋮ Enumeration of \(3\)- and \(4\)-hypergroups on sets with two elements. ⋮ Knot-theoretic flocks ⋮ Associativity in multiary quasigroups: The way of biased expansions ⋮ Simple polyadic groups. ⋮ Fuzzy subgroups of \(n\)-ary subgroups. ⋮ On probabilistic \(n\)-ary hypergroups. ⋮ Binary Relations on Ternary Semihypergroups ⋮ Construction of \(n\)-ary \(F\)-polygroups. ⋮ Knot-theoretic ternary groups ⋮ A Generalization ofn-Ary Algebraic Systems ⋮ NEUTRAL ELEMENTS, FUNDAMENTAL RELATIONS AND n-ARY HYPERSEMIGROUPS ⋮ A description of \(n\)-ary semigroups polynomial-derived from integral domains. ⋮ Automorphisms of \(n\)-ary groups ⋮ On matchable subsets in abelian groups and their linear analogues ⋮ On the structure of symmetric n-ary bands ⋮ Reducibility of \(n\)-ary semigroups: from quasitriviality towards idempotency

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