Quantum Structures Versus Partially Ordered Groups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155755" target="_blank" >RIV/61989592:15310/15:33155755 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs10773-014-2479-9" target="_blank" >http://link.springer.com/article/10.1007%2Fs10773-014-2479-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-014-2479-9" target="_blank" >10.1007/s10773-014-2479-9</a>

Result language
angličtina
Original language name
Quantum Structures Versus Partially Ordered Groups
Original language description
We present a survey of applications of partially ordered groups (= po-groups) in quantum structures. The survey has two levels: (1) To show when an effect algebra or a pseudo effect algebra is an interval in the positive cone of a po-group. A sufficientcondition is a kind of the Riesz Decomposition Property, i.e. a property when two decompositions have a joint refinement. (2) Using an arbitrary power of the positive and negative cone of a po-group and two injections, we can construct a large class of pseudo effect algebras which are called kite pseudo effect algebras, and we describe basic properties of this class.
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/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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