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Description
  • It is known that there are only two cancellative atoms in the subvariety lattice of residuated lattices, namely the variety of Abelian l-groups generated by the additive l-group of integers and the variety V generated by the negative cone of this l-group. In this paper we consider all cancellative residuated chains arising on 2-generated submonoids of natural numbers and show that almost all of them generate a cover of V. This proves that there are infinitely many covers above V which are commutative, integral, and representable.
  • It is known that there are only two cancellative atoms in the subvariety lattice of residuated lattices, namely the variety of Abelian l-groups generated by the additive l-group of integers and the variety V generated by the negative cone of this l-group. In this paper we consider all cancellative residuated chains arising on 2-generated submonoids of natural numbers and show that almost all of them generate a cover of V. This proves that there are infinitely many covers above V which are commutative, integral, and representable. (en)
Title
  • Cancellative Residuated Lattices Arising on 2-Generated Submonoids of Natural Numbers
  • Cancellative Residuated Lattices Arising on 2-Generated Submonoids of Natural Numbers (en)
skos:prefLabel
  • Cancellative Residuated Lattices Arising on 2-Generated Submonoids of Natural Numbers
  • Cancellative Residuated Lattices Arising on 2-Generated Submonoids of Natural Numbers (en)
skos:notation
  • RIV/67985807:_____/10:00348399!RIV11-AV0-67985807
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(KJB100300701), V, Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika
  • 2-3
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
  • 249568
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/10:00348399
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • residuated lattice; cancellative commutative residuated lattice; subvariety lattice; submonoid of natural numbers (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [C197FAED6EBB]
http://linked.open...i/riv/nazevZdroje
  • Algebra Universalis
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
  • 63
http://linked.open...iv/tvurceVysledku
  • Horčík, Rostislav
http://linked.open...ain/vavai/riv/wos
  • 000283085400010
http://linked.open...n/vavai/riv/zamer
issn
  • 0002-5240
number of pages
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