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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F05%3A00002149%21RIV06-MSM-15310___
rdf:type
skos:Concept n16:Vysledek
dcterms:description
We study upper-bounded lattices and join-semilattices that have antitone involutions in all sections. On such a (semi)lattice we introduce a binary operation the properties of which characterize the original order and antitone involutions. It turns out that certain bounded lattices with sectionally antitone involutions correspond one-to-one to MV-algebras Studují se svazy a polosvazy, které mají antitonní involuce ve všech sekcích. Na takovém (polo)svazu se zavede binární operace, jejíž vlastnosti charakterizují původní uspořádání i antitonní involuce. Ukazuje se, že jisté ohraničené svazy se sekčně antitonními involucemi odpovídají MV-algebrám We study upper-bounded lattices and join-semilattices that have antitone involutions in all sections. On such a (semi)lattice we introduce a binary operation the properties of which characterize the original order and antitone involutions. It turns out that certain bounded lattices with sectionally antitone involutions correspond one-to-one to MV-algebras
dcterms:title
Distributive lattices with sectionally antitone involutions Distributivní svazy se sekčně antitonními involucemi Distributive lattices with sectionally antitone involutions
skos:prefLabel
Distributive lattices with sectionally antitone involutions Distributive lattices with sectionally antitone involutions Distributivní svazy se sekčně antitonními involucemi
skos:notation
RIV/61989592:15310/05:00002149!RIV06-MSM-15310___
n3:strany
19-33
n3:aktivita
n17:Z
n3:aktivity
Z(MSM6198959214)
n3:cisloPeriodika
1
n3:dodaniDat
n13:2006
n3:domaciTvurceVysledku
n10:2776553 n10:3213145 n10:9055819
n3:druhVysledku
n11:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
518390
n3:idVysledku
RIV/61989592:15310/05:00002149
n3:jazykVysledku
n8:eng
n3:klicovaSlova
lattice; semilattice; antitone involution; MV-algebra
n3:klicoveSlovo
n6:antitone%20involution n6:semilattice n6:MV-algebra n6:lattice
n3:kodStatuVydavatele
HU - Maďarsko
n3:kontrolniKodProRIV
[AB5172B81BB8]
n3:nazevZdroje
Acta Scientiarum Mathematicum
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n13:2005
n3:svazekPeriodika
71
n3:tvurceVysledku
Chajda, Ivan Halaš, Radomír Kühr, Jan
n3:zamer
n4:MSM6198959214
s:issn
0001-6969
s:numberOfPages
15
n12:organizacniJednotka
15310