The Lexicographic Product of Po-groups 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%3A33145177" target="_blank" >RIV/61989592:15310/13:33145177 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10773-013-1568-5" target="_blank" >http://dx.doi.org/10.1007/s10773-013-1568-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-013-1568-5" target="_blank" >10.1007/s10773-013-1568-5</a>
Alternative languages
Result language
angličtina
Original language name
The Lexicographic Product of Po-groups and n-Perfect Pseudo Effect Algebras
Original language description
We study the existence of different types of the Riesz Decomposition Property for the lexicographic product of two partially ordered groups. Special attention is paid to the lexicographic product of the group of integers with an arbitrary po-group. Thenwe apply these results to the study of n-perfect pseudo effect algebras. We show that the category of strong n-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups with RDP1.
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
International Journal of Theoretical Physics
ISSN
0020-7748
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
2760-2772
UT code for WoS article
000321290300026
EID of the result in the Scopus database
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