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  • We introduce the concepts of pre-implication algebry and implication algebry base on orthosemilattices which generalize the concept of implication algebra defined by J.C. Abbott [2] and orthomodular implication algebra introduced by the author with his collaborators. For our algebras w get new axiom systens compatible with that of an implication algebra. This unified approach enables us to compare the mentioned algebras and apply a unified treatment of congruence prpperities.
  • We introduce the concepts of pre-implication algebry and implication algebry base on orthosemilattices which generalize the concept of implication algebra defined by J.C. Abbott [2] and orthomodular implication algebra introduced by the author with his collaborators. For our algebras w get new axiom systens compatible with that of an implication algebra. This unified approach enables us to compare the mentioned algebras and apply a unified treatment of congruence prpperities. (en)
  • Zavádíme pojem pre-implikační algebry odvozené z orthopolosvazu, která zobecňuje pojem implikační algebry a orthoimplikační algebry zavedené J.C. Abbottem, a othomodulární implikační algebry, zavedené autorem a jeho spolupracovníky. Pro tyto algebry odvodíme axiomatický systém kompatibilní s axiomatickým systémem implikačních algeber. Tím je unifikován přístup ke zmíněným algebrám a lze tedy také takto unifikovatzkoumání kongruenčních vlastností. (cs)
Title
  • Implication algebras.
  • Implication algebras. (en)
  • Implikační algebry (cs)
skos:prefLabel
  • Implication algebras.
  • Implication algebras. (en)
  • Implikační algebry (cs)
skos:notation
  • RIV/61989592:15310/06:00003228!RIV07-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 141-153
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 479030
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/06:00003228
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • implication algebra; pre-implication algebra; orthoimlication algebra; orthosemilattice; congruence kernel (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [BA5AAB18DB7A]
http://linked.open...i/riv/nazevZdroje
  • Discussiones Mathematicae - General Algebra and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 26
http://linked.open...iv/tvurceVysledku
  • Chajda, Ivan
http://linked.open...n/vavai/riv/zamer
issn
  • 1234-3072
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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