Orthomodular Posets Related to Z2-Valued States

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F14%3A00222095" target="_blank" >RIV/68407700:21230/14:00222095 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs10773-013-1690-4" target="_blank" >http://link.springer.com/article/10.1007%2Fs10773-013-1690-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-013-1690-4" target="_blank" >10.1007/s10773-013-1690-4</a>

Result language
angličtina
Original language name
Orthomodular Posets Related to Z2-Valued States
Original language description
We study orthocomplemented posets (certain quantum logics) that possess an abundance of Z 2-valued states. We first discuss their basic properties and, by means of examples, we illuminate intrinsic qualities of these orthocomplemented posets. We then address the problem of axiomatizability of our class of posets?a question that appears natural from the algebraic point of view. In the last section we show, as a main result, that supports of the posets endowed with symmetric difference constitute an important example of orthocomplemented posets under consideration. This result is obtained by a thorough analysis of certain types of ideals.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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