Homogeneous orthocomplete effect algebras are covered by MV-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00067637" target="_blank" >RIV/00216224:14310/13:00067637 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2012.07.009" target="_blank" >http://dx.doi.org/10.1016/j.fss.2012.07.009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2012.07.009" target="_blank" >10.1016/j.fss.2012.07.009</a>

Result language
angličtina
Original language name
Homogeneous orthocomplete effect algebras are covered by MV-algebras
Original language description
The aim of our paper is twofold. First, we thoroughly study the sets of meager and hypermeager elements. Second, we study a common generalization of orthocomplete and lattice effect algebras. We show that every block of an Archimedean homogeneous effectalgebra satisfying this generalization is lattice ordered. Hence such effect algebras can be covered by ranges of observables. As a corollary, this yields that every block of a homogeneous orthocomplete effect algebra is lattice ordered. Therefore finitehomogeneous effect algebras are covered by MV-algebras. (C) 2012 Elsevier B.V. All rights reserved.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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