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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F13%3A33145974%21RIV14-MSM-15310___
rdf:type
n6:Vysledek skos:Concept
dcterms:description
We give sufficient and necessary conditions to guarantee that a pseudo-effect algebra admits an (n + 1)-valued discrete state. We introduce n-perfect pseudo-effect algebras as algebras which can be split into n + 1 comparable slices. We prove that the category of strong n-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups of a special type. We give sufficient and necessary conditions to guarantee that a pseudo-effect algebra admits an (n + 1)-valued discrete state. We introduce n-perfect pseudo-effect algebras as algebras which can be split into n + 1 comparable slices. We prove that the category of strong n-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups of a special type.
dcterms:title
Discrete (n+1)-valued states and n-perfect pseudo-effect algebras Discrete (n+1)-valued states and n-perfect pseudo-effect algebras
skos:prefLabel
Discrete (n+1)-valued states and n-perfect pseudo-effect algebras Discrete (n+1)-valued states and n-perfect pseudo-effect algebras
skos:notation
RIV/61989592:15310/13:33145974!RIV14-MSM-15310___
n6:predkladatel
n7:orjk%3A15310
n3:aktivita
n12:O
n3:aktivity
O
n3:cisloPeriodika
9
n3:dodaniDat
n16:2014
n3:domaciTvurceVysledku
n18:3424154
n3:druhVysledku
n11:J
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
69844
n3:idVysledku
RIV/61989592:15310/13:33145974
n3:jazykVysledku
n15:eng
n3:klicovaSlova
Pseudo-effect algebra, Po-group Symmetric pseudo-effect algebra, (n + 1)-valued discrete state, n-perfect pseudo-effect algebra, Lexicographic product, Categorical equivalence
n3:klicoveSlovo
n5:Po-group%20Symmetric%20pseudo-effect%20algebra n5:Categorical%20equivalence n5:n-perfect%20pseudo-effect%20algebra n5:Lexicographic%20product n5:%28n%20%2B%201%29-valued%20discrete%20state n5:Pseudo-effect%20algebra
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[BF671506FC5D]
n3:nazevZdroje
Soft Computing: a fusion of foundations, methodologies and applications
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n16:2013
n3:svazekPeriodika
17
n3:tvurceVysledku
Dvurečenskij, Anatolij Xie, Yongjian Yang, Aili
n3:wos
000323063400001
s:issn
1432-7643
s:numberOfPages
16
n17:doi
10.1007/s00500-013-1001-2
n19:organizacniJednotka
15310