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  • IIMTL-algebras were introduced as an algebraic counterpart of the cancellative extension of monoidal t-norm based logic. It was shown that they form a variety generated by IIMTL-chains on the real interval [0, 1]. In this paper the structure of these generators is investigated. The results illuminate the structure of cancellative integral commutative residuated. chains, because every such algebra belongs to the quasivariety generated by the zero-free subreducts on (0, 1] of all IIMTL-chains on [0, 1].
  • IIMTL-algebras were introduced as an algebraic counterpart of the cancellative extension of monoidal t-norm based logic. It was shown that they form a variety generated by IIMTL-chains on the real interval [0, 1]. In this paper the structure of these generators is investigated. The results illuminate the structure of cancellative integral commutative residuated. chains, because every such algebra belongs to the quasivariety generated by the zero-free subreducts on (0, 1] of all IIMTL-chains on [0, 1]. (en)
Title
  • Structure of Commutative Cancellative Integral Residuated Lattices on (0,1]
  • Structure of Commutative Cancellative Integral Residuated Lattices on (0,1] (en)
skos:prefLabel
  • Structure of Commutative Cancellative Integral Residuated Lattices on (0,1]
  • Structure of Commutative Cancellative Integral Residuated Lattices on (0,1] (en)
skos:notation
  • RIV/68407700:21230/07:00134818!RIV10-MSM-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA100300503), V, Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 452915
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/07:00134818
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • residuated. lattice; cancellative residuated lattice; MTL-algebra; IIMTL-algebra; Hahn's embedding theorem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [1B4B91941164]
http://linked.open...i/riv/nazevZdroje
  • Algebra universalis
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http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 57
http://linked.open...iv/tvurceVysledku
  • Horčík, Rostislav
http://linked.open...ain/vavai/riv/wos
  • 000251578900004
http://linked.open...n/vavai/riv/zamer
issn
  • 0002-5240
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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