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  • Bounded Rl-monoids generalize GMV-algebras, pseudo BL-algebras and Heyting algebras. States on such monoids are analogues of probability measures. The existence of states is connected with the existence of maximal filters which are normal. We prove that every good and normal perfect Rl-monoid, such that the GMV-algebra of its regular elements is symmetric, admits a (unique) state.
  • Bounded Rl-monoids generalize GMV-algebras, pseudo BL-algebras and Heyting algebras. States on such monoids are analogues of probability measures. The existence of states is connected with the existence of maximal filters which are normal. We prove that every good and normal perfect Rl-monoid, such that the GMV-algebra of its regular elements is symmetric, admits a (unique) state. (en)
  • Ohraničené Rl-monoidy zobecňují GMV-algebry, pseudo BL-algebry a Heytingovy algebry. Stavy na takových monoidech jsou analogie pravděpodobnostních měr. Dokazujeme, že každý dobrý a normální perfektní Rl-monoid, takový, že GMV-algebra jeho regulárních prvků je symetrická, připouští (jediný) stav. (cs)
Title
  • States on perfect bounded Rl-monoids
  • States on perfect bounded Rl-monoids (en)
  • Stavy na perfektních ohraničených Rl-monoidech (cs)
skos:prefLabel
  • States on perfect bounded Rl-monoids
  • States on perfect bounded Rl-monoids (en)
  • Stavy na perfektních ohraničených Rl-monoidech (cs)
skos:notation
  • RIV/61989592:15310/08:00005598!RIV09-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
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
  • 397255
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/08:00005598
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Rl-monoid; residuated lattice; pseudo BL-algebra; pseudo MV-algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [29D73D05783F]
http://linked.open...i/riv/mistoVydani
  • Klagenfurt
http://linked.open...i/riv/nazevZdroje
  • Contributions to General Algebra 18
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Šalounová, Dana
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Verlag J. Heyn
https://schema.org/isbn
  • 978-3-7084-0303-8
http://localhost/t...ganizacniJednotka
  • 15310
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