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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F07%3A00004813%21RIV08-MSM-15310___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
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. 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. 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.
dcterms:title
Kongruence kernels of orthoimplication algebra Jádra kongruencí orthoimplikačních algeber. Kongruence kernels of orthoimplication algebra
skos:prefLabel
Kongruence kernels of orthoimplication algebra Kongruence kernels of orthoimplication algebra Jádra kongruencí orthoimplikačních algeber.
skos:notation
RIV/61989592:15310/07:00004813!RIV08-MSM-15310___
n4:strany
231-240
n4:aktivita
n13:Z
n4:aktivity
Z(MSM6198959214)
n4:cisloPeriodika
2
n4:dodaniDat
n6:2008
n4:domaciTvurceVysledku
n9:3213145 n9:9055819
n4:druhVysledku
n17:J
n4:duvernostUdaju
n15:S
n4:entitaPredkladatele
n14:predkladatel
n4:idSjednocenehoVysledku
429623
n4:idVysledku
RIV/61989592:15310/07:00004813
n4:jazykVysledku
n10:eng
n4:klicovaSlova
orthoimplication algebras; orthomodular lattices; congruence kernels; Boolean algebras
n4:klicoveSlovo
n7:orthoimplication%20algebras n7:congruence%20kernels n7:Boolean%20algebras n7:orthomodular%20lattices
n4:kodStatuVydavatele
SK - Slovenská republika
n4:kontrolniKodProRIV
[6E9AB989AAE6]
n4:nazevZdroje
Acta Mathematica Universitatis Comenianae
n4:obor
n5:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
3
n4:rokUplatneniVysledku
n6:2007
n4:svazekPeriodika
76
n4:tvurceVysledku
Länger, H. Chajda, Ivan Halaš, Radomír
n4:zamer
n16:MSM6198959214
s:issn
0862-9544
s:numberOfPages
10
n11:organizacniJednotka
15310