Sum of observables on MV-effect algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73583859" target="_blank" >RIV/61989592:15310/18:73583859 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00500-017-2741-1" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-017-2741-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-017-2741-1" target="_blank" >10.1007/s00500-017-2741-1</a>
Alternative languages
Result language
angličtina
Original language name
Sum of observables on MV-effect algebras
Original language description
Using a one-to-one correspondence between observables and their spectral resolutions, we introduce the sum of any two bounded observables of a (Formula presented.)-MV-effect algebra. This sum is commutative, associative with neutral element. Under the Olson order of observables, the set of bounded observables is a partially ordered semigroup, and the set of sharp observables is even a Dedekind (Formula presented.)-complete (Formula presented.)-group with strong unit.
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
2018
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
22
Issue of the periodical within the volume
8
Country of publishing house
DE - GERMANY
Number of pages
9
Pages from-to
"2485–2493"
UT code for WoS article
000427707700005
EID of the result in the Scopus database
2-s2.0-85026898469