Intervals 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%2F14%3A00075149" target="_blank" >RIV/00216224:14310/14:00075149 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00500-013-1083-x" target="_blank" >http://dx.doi.org/10.1007/s00500-013-1083-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-013-1083-x" target="_blank" >10.1007/s00500-013-1083-x</a>
Alternative languages
Result language
angličtina
Original language name
Intervals in generalized effect algebras
Original language description
A significant property of a generalized effect algebra is that its every interval with inherited partial sum is an effect algebra. We show that in some sense the converse is also true. More precisely, we prove that a set with zero element is a generalized effect algebra if and only if all its intervals are effect algebras. We investigate inheritance of some properties from intervals to generalized effect algebras, e.g., the Riesz decomposition property, compatibility of every pair of elements, dense embedding into a complete effect algebra, to be a sub-(generalized) effect algebra, to be lattice ordered and others. The response to the Open Problem from Riečanová and Zajac (2013) for generalized effect algebras and their sub-generalized effect algebrasis 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
2014
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
ISSN
1432-7643
e-ISSN
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Volume of the periodical
18
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
413-418
UT code for WoS article
000331722000001
EID of the result in the Scopus database
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