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Atomic effect algebras with the Riesz decomposition property

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33141756" target="_blank" >RIV/61989592:15310/12:33141756 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s10701-012-9655-7" target="_blank" >http://dx.doi.org/10.1007/s10701-012-9655-7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10701-012-9655-7" target="_blank" >10.1007/s10701-012-9655-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Atomic effect algebras with the Riesz decomposition property

  • Original language description

    We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any sigma-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states.

  • 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

  • Continuities

    O - Projekt operacniho programu

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Foundations of Physics

  • ISSN

    0015-9018

  • e-ISSN

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    1078-1093

  • UT code for WoS article

    000305522700007

  • EID of the result in the Scopus database