Quantum logics defined by divisibility conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00349977" target="_blank" >RIV/68407700:21230/21:00349977 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10773-018-3977-y" target="_blank" >https://doi.org/10.1007/s10773-018-3977-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-018-3977-y" target="_blank" >10.1007/s10773-018-3977-y</a>

Result language
angličtina
Original language name
Quantum logics defined by divisibility conditions
Original language description
Let p be a prime number and let S be a countable set. Let us consider the collection DivSp of all subsets of S whose cardinalities are multiples of p and the complements of such sets. Then the collection DivSp constitutes a (set-representable) quantum logic (i.e., DivSp is an orthomodular poset). We show in this note that each state on DivSp can be extended over the Boolean algebra exp S of all subsets of S.
Czech name
—
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)<br>S - Specificky vyzkum na vysokych skolach

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

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