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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F07%3A00004738%21RIV08-MSM-15310___
rdf:type
n14:Vysledek skos:Concept
dcterms:description
The aim of this paper is to characterize BCC-algebras which are term equivalent to MV-algebras. It turns out that they are just the commutative BCC-algebras. Further, we characterize congruence kernels as deductive systems. The explicit description of principal deductive systems enables us to prove that every subdirectly irreducible bounded commutative BCC-algebra is a chain. Jsou charakterizovány BCC-algebry termově ekvivalentní s MV-algebrami. Dále jsou popsána kongruenční jádra jako deduktivní systémy, což umožňuje ukázat, že subdirektně ireducibilní algebry jsou lineárně uspořádané. The aim of this paper is to characterize BCC-algebras which are term equivalent to MV-algebras. It turns out that they are just the commutative BCC-algebras. Further, we characterize congruence kernels as deductive systems. The explicit description of principal deductive systems enables us to prove that every subdirectly irreducible bounded commutative BCC-algebra is a chain.
dcterms:title
When is a BCC-algebra equivalent to an MV-algebra? When is a BCC-algebra equivalent to an MV-algebra? Kdy je BCC-algebra ekvivalentní s MV-algebrou?
skos:prefLabel
When is a BCC-algebra equivalent to an MV-algebra? Kdy je BCC-algebra ekvivalentní s MV-algebrou? When is a BCC-algebra equivalent to an MV-algebra?
skos:notation
RIV/61989592:15310/07:00004738!RIV08-MSM-15310___
n3:strany
759-768
n3:aktivita
n5:Z
n3:aktivity
Z(MSM6198959214)
n3:cisloPeriodika
4
n3:dodaniDat
n12:2008
n3:domaciTvurceVysledku
n6:9055819 n6:2776553 n6:3213145
n3:druhVysledku
n15:J
n3:duvernostUdaju
n4:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
461250
n3:idVysledku
RIV/61989592:15310/07:00004738
n3:jazykVysledku
n16:eng
n3:klicovaSlova
BCC-algebra; BCK-algebra; MV-algebra.
n3:klicoveSlovo
n11:BCC-algebra n11:MV-algebra. n11:BCK-algebra
n3:kodStatuVydavatele
PL - Polská republika
n3:kontrolniKodProRIV
[135559513160]
n3:nazevZdroje
Demonstratio Mathematica
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n12:2007
n3:svazekPeriodika
40
n3:tvurceVysledku
Chajda, Ivan Halaš, Radomír Kühr, Jan
n3:zamer
n10:MSM6198959214
s:issn
0420-1213
s:numberOfPages
10
n17:organizacniJednotka
15310