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On Frink Ideals in Orthomodular Posets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00342537" target="_blank" >RIV/68407700:21230/21:00342537 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s11083-020-09537-0" target="_blank" >https://doi.org/10.1007/s11083-020-09537-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11083-020-09537-0" target="_blank" >10.1007/s11083-020-09537-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Frink Ideals in Orthomodular Posets

  • Original language description

    Let S denote the class of orthomodular posets in which all maximal Frink ideals are selective. Let R (resp. T) be the class of orthomodular posets defined by the validity of the following implications: P is an element of R if the implication a, b is an element of P, a boolean AND b = 0 double right arrow a <= b' holds (resp., P is an element of T if the implication a. b = a boolean AND b' = 0 double right arrow a = 0 holds). In this note we prove the following slightly surprising result: R subset of S subset of T. Since orthomodular posets are often understood as quantum logics, the result might have certain bearing on quantum axiomatics.

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS

  • ISSN

    0167-8094

  • e-ISSN

    1572-9273

  • Volume of the periodical

    38

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    5

  • Pages from-to

    245-249

  • UT code for WoS article

    000555357700001

  • EID of the result in the Scopus database

    2-s2.0-85088927197