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A Dynamic Effect Algebras with dual operation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00062908" target="_blank" >RIV/00216224:14310/12:00062908 - isvavai.cz</a>

  • Result on the web

    <a href="http://ma.fme.vutbr.cz/archiv/1_1/79_89.pdf" target="_blank" >http://ma.fme.vutbr.cz/archiv/1_1/79_89.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Dynamic Effect Algebras with dual operation

  • Original language description

    Tense operators for MV-algebras were introduced by Diaconescu and Georgescu. Based on their denition Chajda and Kolařík presented the denition of tense operators for lattice effect algebras. Chajda and Paseka tackled the problem of axiomatizing tense operators on an effect algebra by introducing the notion of a partial dynamic effect algebra. They also gave representation theorems for dynamic effect algebras. We continue to extend their work for partial S-dynamic effect algebras i.e. in the case when tense operators satisfy required conditions also for the dual effect algebraic operation . We show that whenever tense operators are total our stronger notion coincides with their denition. We give also a representation theorem for partial S-dynamic effectalgebras and its version for strict dynamic effect algebras.

  • 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)<br>S - Specificky vyzkum na vysokych skolach

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

    MATHEMATICS FOR APPLICATIONS

  • ISSN

    1805-3610

  • e-ISSN

  • Volume of the periodical

    1

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    11

  • Pages from-to

    79-89

  • UT code for WoS article

  • EID of the result in the Scopus database