More about sharp and meager elements in Archimedean atomic lattice effect algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00059429" target="_blank" >RIV/00216224:14310/12:00059429 - isvavai.cz</a>
Result on the web
<a href="http://www.springerlink.com/content/1271803j0uj5646x/" target="_blank" >http://www.springerlink.com/content/1271803j0uj5646x/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-011-0738-8" target="_blank" >10.1007/s00500-011-0738-8</a>

Result language
angličtina
Original language name
More about sharp and meager elements in Archimedean atomic lattice effect algebras
Original language description
The aim of our paper is twofold. First, we thoroughly study the set of meager elements M(E), the center C(E) and the compatibility center B(E) in the setting of atomic Archimedean lattice effect algebras E. The main result is that in this case the centerC(E) is bifull (atomic) iff the compatibility center B(E) is bifull (atomic) whenever E is sharply dominating. As a by-product, we give a new description of the smallest sharp element over x is an element of E via the basic decomposition of x: Second, we prove the Triple Representation Theorem for sharply dominating atomic Archimedean lattice effect algebras.
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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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