Riesz decomposition properties and the lexicographic product of po-groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161654" target="_blank" >RIV/61989592:15310/16:33161654 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs00500-015-1903-2" target="_blank" >http://link.springer.com/article/10.1007%2Fs00500-015-1903-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-015-1903-2" target="_blank" >10.1007/s00500-015-1903-2</a>
Alternative languages
Result language
angličtina
Original language name
Riesz decomposition properties and the lexicographic product of po-groups
Original language description
We establish conditions when a certain type of the Riesz decomposition property (RDP) holds in the lexicographic product of two po-groups. It is well known that the resulting product is an -group if and only if the first one is linearly ordered and the second one is an -group. This can be equivalently studied as po-groups with a special type of the RDP. In the paper we study three different types of RDPs. RDPs of the lexicographic products are important for the study of pseudo effect algebras where infinitesimal elements play an important role both for algebras as well as for the first-order logic of valid but not provable formulas.
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
<a href="/en/project/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
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
20
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
15
Pages from-to
2103-2117
UT code for WoS article
000376103900002
EID of the result in the Scopus database
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