Weakly Jauch-Piron States in Effect Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00355112" target="_blank" >RIV/68407700:21230/21:00355112 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10773-020-04709-5" target="_blank" >https://doi.org/10.1007/s10773-020-04709-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-020-04709-5" target="_blank" >10.1007/s10773-020-04709-5</a>

Result language
angličtina
Original language name
Weakly Jauch-Piron States in Effect Algebras
Original language description
We study various types of weakly Jauch-Piron states and various types of state-space properties in effect algebras. We generalize several results of Tkadlec (Tatra Mt. Math. Publ. 10, 55-62 1997; Algebra Universalis 61, 187-194 2009) and of Matousek and Ptak (Internat. J. Theoret. Phys. 54, 4476-4481 2015). In particular, we show when an effect algebra is an orthomodular poset, when a unital set of states is strongly order determining, and we present some state space characterizations of Boolean algebras.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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