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  • The problem of the existence of non.medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operatirs, then to ternary algebras and, finally, to cocyclic modules, it is shown that every non-medial distributive hamiltonian quasigroup has at least 729 elements and that there are just two isomophism classes of such quasigroups of the least cardinality. The quasigroups representing these two classes are antiisomorphic.
  • The problem of the existence of non.medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operatirs, then to ternary algebras and, finally, to cocyclic modules, it is shown that every non-medial distributive hamiltonian quasigroup has at least 729 elements and that there are just two isomophism classes of such quasigroups of the least cardinality. The quasigroups representing these two classes are antiisomorphic. (en)
  • The problem of the existence of non.medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operatirs, then to ternary algebras and, finally, to cocyclic modules, it is shown that every non-medial distributive hamiltonian quasigroup has at least 729 elements and that there are just two isomophism classes of such quasigroups of the least cardinality. The quasigroups representing these two classes are antiisomorphic. (cs)
Title
  • Hamiltonian selfdistributive quasigroups
  • Hamiltonian selfdistributive quasigroups (en)
  • Hamiltonovské samodistributivní quasigrupy (cs)
skos:prefLabel
  • Hamiltonian selfdistributive quasigroups
  • Hamiltonian selfdistributive quasigroups (en)
  • Hamiltonovské samodistributivní quasigrupy (cs)
skos:notation
  • RIV/60460709:41310/05:11061!RIV06-GA0-41310___
http://linked.open.../vavai/riv/strany
  • 70;104
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/02/0594), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 0
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 523029
http://linked.open...ai/riv/idVysledku
  • RIV/60460709:41310/05:11061
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quasigroup, distributive, medial, Hamiltonian (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [72F83950EE72]
http://linked.open...i/riv/nazevZdroje
  • Journal of Algebra
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 289
http://linked.open...iv/tvurceVysledku
  • Kepka, Tomáš
  • Němec, Petr
  • Herbera, Dolors
http://linked.open...n/vavai/riv/zamer
issn
  • 0021-8693
number of pages
http://localhost/t...ganizacniJednotka
  • 41310
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