Hamiltonian selfdistributive quasigroups

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dc.creatorHerbera, Dolors
dc.creatorKepka, Tomás
dc.creatorNemec, Petr
dc.date2004-03-10
dc.date.accessioned2026-07-07T05:06:17Z
dc.date.available2026-07-07T05:06:17Z
dc.descriptionThe problem of the existence of non-medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operators, then to ternary algebras and, finally, to cocyclic modules over\linebreak $\Bbb Z[x,x^{-1},(1-x)^{-1}]$, it is shown that every non-medial distributive hamiltonian quasigroup has at least 729 elements and that there are just two isomorphism classes of such quasigroups of the least cardinality. The quasigroups representing these two classes are anti-isomorphic.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0403181
dc.identifierhttp://arxiv.org/abs/math/0403181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70418
dc.subjectRings and Algebras
dc.subject20N05
dc.titleHamiltonian selfdistributive quasigroups
dc.typetext

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