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States on quantum and algebraic structures and their integral representation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155767" target="_blank" >RIV/61989592:15310/15:33155767 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0165011413004612" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011413004612</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2013.11.005" target="_blank" >10.1016/j.fss.2013.11.005</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    States on quantum and algebraic structures and their integral representation

  • Original language description

    We review the notion of a state as a finitely additive functional on algebraic and quantum structures such as MV-algebras, effect algebras, and BL-algebras and their non-commutative generalizations. We show how a state can be represented as a standard integral through a sigma-additive Borel probability measure.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Fuzzy Sets and Systems

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

    259

  • Issue of the periodical within the volume

    JAN

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    12

  • Pages from-to

    56-67

  • UT code for WoS article

    000345440400007

  • EID of the result in the Scopus database