Sharply Dominating MV-Effect Algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00055102" target="_blank" >RIV/00216224:14310/11:00055102 - isvavai.cz</a>
Result on the web
<a href="http://www.springerlink.com/content/92867r1358519332/" target="_blank" >http://www.springerlink.com/content/92867r1358519332/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-010-0338-x" target="_blank" >10.1007/s10773-010-0338-x</a>
Alternative languages
Result language
angličtina
Original language name
Sharply Dominating MV-Effect Algebras
Original language description
Some open questions on Archimedean atomic MV-effect algebras are answered. Namely we prove that there are Archimedean atomic MV-effect algebras which are not sharply dominating. Equivalently, they don't have a basic decomposition of elements. Moreover, if their set of sharp elements (their center) is a complete lattice then they need not be complete lattices. The existence of infinite orthogonal sums of their elements is discussed.
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
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
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
50
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
1152-1159
UT code for WoS article
000288261200023
EID of the result in the Scopus database
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