The Category of ω-Effect Algebras: Tensor Product and ω-Completion
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73627618" target="_blank" >RIV/61989592:15310/25:73627618 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11083-024-09680-y" target="_blank" >https://link.springer.com/article/10.1007/s11083-024-09680-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11083-024-09680-y" target="_blank" >10.1007/s11083-024-09680-y</a>
Alternative languages
Result language
angličtina
Original language name
The Category of ω-Effect Algebras: Tensor Product and ω-Completion
Original language description
Effect algebras are certain ordered structures that serve as a general framework for studying the algebraic semantics of quantum logic. We study effect algebras which obtain suprema of countable monotone sequences – so-called ω-effect algebras. This assumption is necessary to capture basic (non-discrete) probabilistic concepts. We establish a free ω-completion of effect algebras (i.e., a left adjoint to the functor that forgets the existence of ω-suprema) and the existence of a tensor product in the category of ω-effect algebras. These results are obtained by means of so-called test spaces. Test spaces form a category that contains effect algebras as a reflective subcategory, but provides more space for constructions.
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
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS
ISSN
0167-8094
e-ISSN
1572-9273
Volume of the periodical
42
Issue of the periodical within the volume
AUG
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
18
Pages from-to
253-270
UT code for WoS article
001303247100001
EID of the result in the Scopus database
2-s2.0-85202678299