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  • V práci jsou studovány ortoimplikační algebry jakožto polosvazy ortomodulárních svazů splňujích podmínku kompatibility. Je dokázáno, že jejich kongruenční jádra vzájemně jednoznačně odpovídají třídám kompatibilních p-filtrů na odpovídajících ortomodulárních svazech. Je také ukázáno, že svaz jejich kongruenčních jader je relativně pseudokomplementární a relativní pseudokomplementy jsou explicitně popsány. (cs)
  • Abstracting from certain properties of the iplication operation in Boolean algebras leads to so-called orthoimplication algebras. Thece are in a natural one-to-one correspondence with families of compatible orthomodular lattices. It is proved that congruence kernels of orthoimplication algebras are in a natural one-to-one correspondence with families of compatible p-filters on the corresponding orthomodular lattices. Finally, it is proved that the lattice of all congruence kernals of an orthoimplication algebra is relatively pseudocomplemented and a simple description of the relative pseudocomplement is given.
  • Abstracting from certain properties of the iplication operation in Boolean algebras leads to so-called orthoimplication algebras. Thece are in a natural one-to-one correspondence with families of compatible orthomodular lattices. It is proved that congruence kernels of orthoimplication algebras are in a natural one-to-one correspondence with families of compatible p-filters on the corresponding orthomodular lattices. Finally, it is proved that the lattice of all congruence kernals of an orthoimplication algebra is relatively pseudocomplemented and a simple description of the relative pseudocomplement is given. (en)
Title
  • Kongruence kernels of orthoimplication algebra
  • Jádra kongruencí orthoimplikačních algeber. (cs)
  • Kongruence kernels of orthoimplication algebra (en)
skos:prefLabel
  • Kongruence kernels of orthoimplication algebra
  • Jádra kongruencí orthoimplikačních algeber. (cs)
  • Kongruence kernels of orthoimplication algebra (en)
skos:notation
  • RIV/61989592:15310/07:00004813!RIV08-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 231-240
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  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 2
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  • 429623
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  • RIV/61989592:15310/07:00004813
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  • orthoimplication algebras; orthomodular lattices; congruence kernels; Boolean algebras (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [6E9AB989AAE6]
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  • Acta Mathematica Universitatis Comenianae
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http://linked.open...v/svazekPeriodika
  • 76
http://linked.open...iv/tvurceVysledku
  • Chajda, Ivan
  • Halaš, Radomír
  • Länger, H.
http://linked.open...n/vavai/riv/zamer
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  • 0862-9544
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  • 15310
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