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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F11%3A33116125%21RIV12-MSM-15310___
rdf:type
n13:Vysledek skos:Concept
dcterms:description
Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras. Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras.
dcterms:title
Pre-ideals of basic algebras Pre-ideals of basic algebras
skos:prefLabel
Pre-ideals of basic algebras Pre-ideals of basic algebras
skos:notation
RIV/61989592:15310/11:33116125!RIV12-MSM-15310___
n13:predkladatel
n14:orjk%3A15310
n3:aktivita
n9:S n9:Z
n3:aktivity
S, Z(MSM6198959214)
n3:cisloPeriodika
50
n3:dodaniDat
n10:2012
n3:domaciTvurceVysledku
n5:6128106 n5:2776553
n3:druhVysledku
n4:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n20:predkladatel
n3:idSjednocenehoVysledku
222968
n3:idVysledku
RIV/61989592:15310/11:33116125
n3:jazykVysledku
n6:eng
n3:klicovaSlova
Basic algebra, pre-ideal, ideal
n3:klicoveSlovo
n11:Basic%20algebra n11:pre-ideal n11:ideal
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[B575CFE23DB4]
n3:nazevZdroje
International Journal of Theoretical Physics
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n10:2011
n3:svazekPeriodika
12
n3:tvurceVysledku
Kühr, Jan Krňávek, Jan
n3:wos
000296923500016
n3:zamer
n19:MSM6198959214
s:issn
0020-7748
s:numberOfPages
16
n17:doi
10.1007/s10773-011-0928-2
n15:organizacniJednotka
15310