Maximal Subsets of Pairwise Summable Elements in Generalized Effect Algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00070294" target="_blank" >RIV/00216224:14310/13:00070294 - isvavai.cz</a>
Result on the web
<a href="http://ojs.cvut.cz/ojs/index.php/ap/article/view/1865" target="_blank" >http://ojs.cvut.cz/ojs/index.php/ap/article/view/1865</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14311/AP.2013.53.0457" target="_blank" >10.14311/AP.2013.53.0457</a>
Alternative languages
Result language
angličtina
Original language name
Maximal Subsets of Pairwise Summable Elements in Generalized Effect Algebras
Original language description
We show that in any generalized effect algebra (G;+,0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;+, 0), called a summability block. If G is lattice ordered, then every summability block in G is a generalized MV-effect algebra. Moreover, if every element of G has an infinite isotropic index, then G is covered by its summability blocks, which are generalized MV-effect algebras in the case that G is lattice ordered. We also present the relations between summability blocksand compatibility blocks of G. Counterexamples, to obtain the required contradictions in some cases, are given.
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/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Acta Polytechnica
ISSN
1210-2709
e-ISSN
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Volume of the periodical
53
Issue of the periodical within the volume
5
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
5
Pages from-to
457-461
UT code for WoS article
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EID of the result in the Scopus database
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