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Description
  • By the Holland Representation Theorem, every lattice ordered group (1-group) is isomorphic to a subalgebra of the l-group of automorphisms of a chain. Since weakly associative lattice groups (wal-groups) and tournaments are non-transitive generalizationsof l-groups and chains, respectively, the problem concerning the possibility of representation of wal-groups by automorphisms of tournamets arises. In the paper we describe the class of wal-groups isomorphic to wal-groups of automorphisms of tournament and show some of its properties.
  • By the Holland Representation Theorem, every lattice ordered group (1-group) is isomorphic to a subalgebra of the l-group of automorphisms of a chain. Since weakly associative lattice groups (wal-groups) and tournaments are non-transitive generalizationsof l-groups and chains, respectively, the problem concerning the possibility of representation of wal-groups by automorphisms of tournamets arises. In the paper we describe the class of wal-groups isomorphic to wal-groups of automorphisms of tournament and show some of its properties. (en)
Title
  • Groups of Automorphisms of Tournaments
  • Groups of Automorphisms of Tournaments (en)
skos:prefLabel
  • Groups of Automorphisms of Tournaments
  • Groups of Automorphisms of Tournaments (en)
skos:notation
  • RIV/61989592:15310/02:00001621!RIV/2003/MSM/153103/N
http://linked.open.../vavai/riv/strany
  • 349-357
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 153100011)
http://linked.open...iv/cisloPeriodika
  • N
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 647328
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/02:00001621
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • chain; group of automorphisms; l-group; tournament; wal-group (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [7ADE8BA49CE4]
http://linked.open...i/riv/nazevZdroje
  • Order
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 18
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 0167-8094
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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