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Algebraic Properties of Paraorthomodular Posets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00127892" target="_blank" >RIV/00216224:14310/22:00127892 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989592:15310/22:73616889

  • Result on the web

    <a href="https://academic.oup.com/jigpal/article/30/5/840/6317499" target="_blank" >https://academic.oup.com/jigpal/article/30/5/840/6317499</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1093/jigpal/jzab024" target="_blank" >10.1093/jigpal/jzab024</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Algebraic Properties of Paraorthomodular Posets

  • Original language description

    Paraorthomodular posets are bounded partially ordered sets with an antitone involution induced by quantum structures arising from the logico-algebraic approach to quantum mechanics. The aim of the present work is starting a systematic inquiry into paraorthomodular posets theory both from algebraic and order-theoretic perspectives. On the one hand, we show that paraorthomodular posets are amenable of an algebraic treatment by means of a smooth representation in terms of bounded directoids with antitone involution. On the other, we investigate their order-theoretical features in terms of forbidden configurations. Moreover, sufficient and necessary conditions characterizing bounded posets with an antitone involution whose Dedekind–MacNeille completion is paraorthomodular are provided.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Logic Journal of the IGPL

  • ISSN

    1367-0751

  • e-ISSN

    1368-9894

  • Volume of the periodical

    30

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    30

  • Pages from-to

    840-869

  • UT code for WoS article

    000764408200001

  • EID of the result in the Scopus database

    2-s2.0-85147165094