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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F13%3A00067637%21RIV14-MSM-14310___
rdf:type
n6:Vysledek skos:Concept
dcterms:description
The aim of our paper is twofold. First, we thoroughly study the sets of meager and hypermeager elements. Second, we study a common generalization of orthocomplete and lattice effect algebras. We show that every block of an Archimedean homogeneous effect algebra satisfying this generalization is lattice ordered. Hence such effect algebras can be covered by ranges of observables. As a corollary, this yields that every block of a homogeneous orthocomplete effect algebra is lattice ordered. Therefore finite homogeneous effect algebras are covered by MV-algebras. (C) 2012 Elsevier B.V. All rights reserved. The aim of our paper is twofold. First, we thoroughly study the sets of meager and hypermeager elements. Second, we study a common generalization of orthocomplete and lattice effect algebras. We show that every block of an Archimedean homogeneous effect algebra satisfying this generalization is lattice ordered. Hence such effect algebras can be covered by ranges of observables. As a corollary, this yields that every block of a homogeneous orthocomplete effect algebra is lattice ordered. Therefore finite homogeneous effect algebras are covered by MV-algebras. (C) 2012 Elsevier B.V. All rights reserved.
dcterms:title
Homogeneous orthocomplete effect algebras are covered by MV-algebras Homogeneous orthocomplete effect algebras are covered by MV-algebras
skos:prefLabel
Homogeneous orthocomplete effect algebras are covered by MV-algebras Homogeneous orthocomplete effect algebras are covered by MV-algebras
skos:notation
RIV/00216224:14310/13:00067637!RIV14-MSM-14310___
n6:predkladatel
n15:orjk%3A14310
n3:aktivita
n14:P
n3:aktivity
P(EE2.3.20.0051)
n3:cisloPeriodika
1 January 2013
n3:dodaniDat
n16:2014
n3:domaciTvurceVysledku
n17:5676347 n17:1518712
n3:druhVysledku
n11:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n7:predkladatel
n3:idSjednocenehoVysledku
77992
n3:idVysledku
RIV/00216224:14310/13:00067637
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Homogeneous effect algebra; Orthocomplete effect algebra; Lattice effect algebra; Center; Atom; Sharp element; Meager element; Hypermeager element; Ultrameager element
n3:klicoveSlovo
n4:Atom n4:Ultrameager%20element n4:Center n4:Homogeneous%20effect%20algebra n4:Sharp%20element n4:Lattice%20effect%20algebra n4:Orthocomplete%20effect%20algebra n4:Meager%20element n4:Hypermeager%20element
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[C7B379C21B6C]
n3:nazevZdroje
FUZZY SETS AND SYSTEMS
n3:obor
n20:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n13:EE2.3.20.0051
n3:rokUplatneniVysledku
n16:2013
n3:svazekPeriodika
210
n3:tvurceVysledku
Paseka, Jan Niederle, Josef
n3:wos
000310662400007
s:issn
0165-0114
s:numberOfPages
13
n18:doi
10.1016/j.fss.2012.07.009
n5:organizacniJednotka
14310