Spectral resolutions and observables in n-perfect MV-algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603206" target="_blank" >RIV/61989592:15310/20:73603206 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00500-019-04543-w" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-019-04543-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-019-04543-w" target="_blank" >10.1007/s00500-019-04543-w</a>
Alternative languages
Result language
angličtina
Original language name
Spectral resolutions and observables in n-perfect MV-algebras
Original language description
We define an observable as a kind of a sigma-homomorphism from the Borel sigma-algebra of the real line into a Rad-Dedekind sigma-complete n-perfect MV-algebra with principal radical preserving disjoint unions. We show that there is a one-to-one correspondence between spectral resolutions (defined now with four properties and not with three ones). This correspondence allows us to define a partial order on the set of observables, called the Olson order, as well as a sum of observables which converts the set of observables into a commutative lattice-ordered semigroup with respect to the Olson order and with the sum of observables.
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2020
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
24
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
843-860
UT code for WoS article
000509686300010
EID of the result in the Scopus database
2-s2.0-85075591436