Lexicographic 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%2F17%3A73579381" target="_blank" >RIV/61989592:15310/17:73579381 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00500-016-2228-5" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-016-2228-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-016-2228-5" target="_blank" >10.1007/s00500-016-2228-5</a>
Alternative languages
Result language
angličtina
Original language name
Lexicographic pseudo effect algebras
Original language description
We characterize effect algebras and pseudo effect algebras that can be represented as an interval of the lexicographic product of an antilattice unital po-group (H, u) with a directed po-group G, both with the Riesz Decomposition Property (RDP). We show that a crucial condition is the existence of a lexicographic normal ideal. Finally, we present a categorical equivalence of the category of (H, u)-lexicographic pseudo effect algebras having RDP with the category of directed po-groups with RDP. In addition, a weaker form of the (H, u)-lexicographic pseudo effect algebra is studied. © 2016 Springer-Verlag Berlin Heidelberg
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
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
2017
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
21
Issue of the periodical within the volume
17
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
4981-4994
UT code for WoS article
000408231900012
EID of the result in the Scopus database
2-s2.0-84976291709