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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F10%3A00046451%21RIV11-MSM-14310___
rdf:type
n4:Vysledek skos:Concept
dcterms:description
By a basic algebra is meant an MV-like algebra (A,+,neg,0) of type (2, 1, 0) derived in a natural way from bounded lattices having antitone involutions on their principal filters. We show that (i) atomic Archimedean basic algebras for which the operation + is o-commutative are effect algebras and (ii) atomic Archimedean commutative basic algebras are MV-algebras. This generalizes the results by Botur and Halas on finite commutative basic algebras and complete commutative basic algebras. By a basic algebra is meant an MV-like algebra (A,+,neg,0) of type (2, 1, 0) derived in a natural way from bounded lattices having antitone involutions on their principal filters. We show that (i) atomic Archimedean basic algebras for which the operation + is o-commutative are effect algebras and (ii) atomic Archimedean commutative basic algebras are MV-algebras. This generalizes the results by Botur and Halas on finite commutative basic algebras and complete commutative basic algebras.
dcterms:title
Which O-commutative Basic Algebras Are Effect Algebras Which O-commutative Basic Algebras Are Effect Algebras
skos:prefLabel
Which O-commutative Basic Algebras Are Effect Algebras Which O-commutative Basic Algebras Are Effect Algebras
skos:notation
RIV/00216224:14310/10:00046451!RIV11-MSM-14310___
n5:aktivita
n8:Z
n5:aktivity
Z(MSM0021622409)
n5:cisloPeriodika
12
n5:dodaniDat
n7:2011
n5:domaciTvurceVysledku
n15:1518712
n5:druhVysledku
n16:J
n5:duvernostUdaju
n13:S
n5:entitaPredkladatele
n10:predkladatel
n5:idSjednocenehoVysledku
298781
n5:idVysledku
RIV/00216224:14310/10:00046451
n5:jazykVysledku
n14:eng
n5:klicovaSlova
Basic algebra Commutative basic algebra O-commutative basic algebra Lattice effect algebra
n5:klicoveSlovo
n18:Basic%20algebra%20Commutative%20basic%20algebra%20O-commutative%20basic%20algebra%20Lattice%20effect%20algebra
n5:kodStatuVydavatele
CZ - Česká republika
n5:kontrolniKodProRIV
[B503019FE5AF]
n5:nazevZdroje
International Journal of Theoretical Physics
n5:obor
n9:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
1
n5:rokUplatneniVysledku
n7:2010
n5:svazekPeriodika
49
n5:tvurceVysledku
Paseka, Jan
n5:wos
000284335300030
n5:zamer
n12:MSM0021622409
s:issn
0020-7748
s:numberOfPages
9
n17:organizacniJednotka
14310