Discrete (n+1)-valued states and n-perfect pseudo-effect algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145974" target="_blank" >RIV/61989592:15310/13:33145974 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00500-013-1001-2" target="_blank" >http://dx.doi.org/10.1007/s00500-013-1001-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-013-1001-2" target="_blank" >10.1007/s00500-013-1001-2</a>
Alternative languages
Result language
angličtina
Original language name
Discrete (n+1)-valued states and n-perfect pseudo-effect algebras
Original language 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Soft Computing: a fusion of foundations, methodologies and applications
ISSN
1432-7643
e-ISSN
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Volume of the periodical
17
Issue of the periodical within the volume
9
Country of publishing house
DE - GERMANY
Number of pages
16
Pages from-to
1537-1552
UT code for WoS article
000323063400001
EID of the result in the Scopus database
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