Extensions of Ordering Sets of States from Effect Algebras onto Their MacNeille Completions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00068751" target="_blank" >RIV/00216224:14310/13:00068751 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs10773-013-1532-4" target="_blank" >http://link.springer.com/article/10.1007%2Fs10773-013-1532-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-013-1532-4" target="_blank" >10.1007/s10773-013-1532-4</a>

Result language
angličtina
Original language name
Extensions of Ordering Sets of States from Effect Algebras onto Their MacNeille Completions
Original language description
In "Riečanová Z, Zajac M.: Hilbert Space Effect-Representations of Effect Algebras" it was shown that an effect algebra $E$ with an ordering set ${cal M}$ of states can by embedded into a Hilbert space effect algebra ${cal E}(l_2({cal M}))$. We consider the problem when its effect algebraic MacNeille completion $hat{E}$ can be also embedded into the same Hilbert space effect algebra ${cal E}(l_2({cal M}))$. That is when the ordering set $cal M$ of states on $E$ can be be extended to an ordering set of states on $hat{E}$. We give an answer for all Archimedean MV-effect algebras and Archimedean atomic lattice effect algebras.
Czech name
—
Czech description
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Project
<a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP) Z - Vyzkumny zamer (s odkazem do CEZ) S - Specificky vyzkum na vysokych skolach I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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