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  • Since basic algebras are equivalent to bounded lattices with sectional antitone involutions, it motivated us to study an algebraic counterpart of semilattices with sectional switching involutions. These algebras are called pseudo basic algebras. They are determined by four independent identities and hence the class of these algebras forms a variety. Several basic properties of these algebras are presented and a particular interest is devoted to pseudo basic algebras whose main involution is even antitone (so-called strict pseudo basic algebras) and to those whose binary operation is commutative. Congruence properties of the varieties of these algebras are investigated.
  • Since basic algebras are equivalent to bounded lattices with sectional antitone involutions, it motivated us to study an algebraic counterpart of semilattices with sectional switching involutions. These algebras are called pseudo basic algebras. They are determined by four independent identities and hence the class of these algebras forms a variety. Several basic properties of these algebras are presented and a particular interest is devoted to pseudo basic algebras whose main involution is even antitone (so-called strict pseudo basic algebras) and to those whose binary operation is commutative. Congruence properties of the varieties of these algebras are investigated. (en)
Title
  • Pseudo basic algebras
  • Pseudo basic algebras (en)
skos:prefLabel
  • Pseudo basic algebras
  • Pseudo basic algebras (en)
skos:notation
  • RIV/61989592:15310/13:33145162!RIV14-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE2.3.20.0060)
http://linked.open...iv/cisloPeriodika
  • 1-2
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
  • 100863
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/13:33145162
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Sectional switching involution, join-semilattice, basic algebra, pseudo basic algebra, congruence regularity, arithmeticity. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [510826A8514D]
http://linked.open...i/riv/nazevZdroje
  • Journal of Multiple-Valued Logic and Soft Computing
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 21
http://linked.open...iv/tvurceVysledku
  • Chajda, Ivan
  • Kolařík, Miroslav
  • Krňávek, Jan
http://linked.open...ain/vavai/riv/wos
  • 000322857700005
issn
  • 1542-3980
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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