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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F13%3A33146319%21RIV14-MSM-15310___
rdf:type
n12:Vysledek skos:Concept
rdfs:seeAlso
http://link.springer.com/article/10.1007%2Fs00500-012-0915-4
dcterms:description
MV-algebras as well as orthomodular lattices can be seen as a particular case of so-called ''basic algebras''. The class of basic algebras is an ideal variety. In the paper, we give an internal characterization of congruence kernels (ideals) and find a finite basis of ideal terms, with focus on monotone and effect basic algebras. We also axiomatize basic algebras that are subdirect products of linearly ordered ones. MV-algebras as well as orthomodular lattices can be seen as a particular case of so-called ''basic algebras''. The class of basic algebras is an ideal variety. In the paper, we give an internal characterization of congruence kernels (ideals) and find a finite basis of ideal terms, with focus on monotone and effect basic algebras. We also axiomatize basic algebras that are subdirect products of linearly ordered ones.
dcterms:title
Ideals and congruences of basic algebras Ideals and congruences of basic algebras
skos:prefLabel
Ideals and congruences of basic algebras Ideals and congruences of basic algebras
skos:notation
RIV/61989592:15310/13:33146319!RIV14-MSM-15310___
n12:predkladatel
n18:orjk%3A15310
n3:aktivita
n11:O
n3:aktivity
O
n3:cisloPeriodika
3
n3:dodaniDat
n15:2014
n3:domaciTvurceVysledku
n6:9055819 n6:2776553
n3:druhVysledku
n13:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
78642
n3:idVysledku
RIV/61989592:15310/13:33146319
n3:jazykVysledku
n4:eng
n3:klicovaSlova
ideal term; ideal; congruence; Basic algebra
n3:klicoveSlovo
n5:congruence n5:Basic%20algebra n5:ideal%20term n5:ideal
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[9EA0068B571C]
n3:nazevZdroje
Soft Computing: a fusion of foundations, methodologies and applications
n3:obor
n17:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n15:2013
n3:svazekPeriodika
17
n3:tvurceVysledku
Chajda, Ivan Kühr, Jan
n3:wos
000314754000006
s:issn
1432-7643
s:numberOfPages
10
n20:doi
10.1007/s00500-012-0915-4
n19:organizacniJednotka
15310