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  • By a basic algebra is meant an MV-like algebra (A,+,neg,0) of type (2, 1, 0) derived in a natural way from bounded lattices having antitone involutions on their principal filters. We show that (i) atomic Archimedean basic algebras for which the operation + is o-commutative are effect algebras and (ii) atomic Archimedean commutative basic algebras are MV-algebras. This generalizes the results by Botur and Halas on finite commutative basic algebras and complete commutative basic algebras.
  • By a basic algebra is meant an MV-like algebra (A,+,neg,0) of type (2, 1, 0) derived in a natural way from bounded lattices having antitone involutions on their principal filters. We show that (i) atomic Archimedean basic algebras for which the operation + is o-commutative are effect algebras and (ii) atomic Archimedean commutative basic algebras are MV-algebras. This generalizes the results by Botur and Halas on finite commutative basic algebras and complete commutative basic algebras. (en)
Title
  • Which O-commutative Basic Algebras Are Effect Algebras
  • Which O-commutative Basic Algebras Are Effect Algebras (en)
skos:prefLabel
  • Which O-commutative Basic Algebras Are Effect Algebras
  • Which O-commutative Basic Algebras Are Effect Algebras (en)
skos:notation
  • RIV/00216224:14310/10:00046451!RIV11-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 12
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
  • 298781
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/10:00046451
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Basic algebra Commutative basic algebra O-commutative basic algebra Lattice effect algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [B503019FE5AF]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Theoretical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 49
http://linked.open...iv/tvurceVysledku
  • Paseka, Jan
http://linked.open...ain/vavai/riv/wos
  • 000284335300030
http://linked.open...n/vavai/riv/zamer
issn
  • 0020-7748
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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