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Realization of Categorical Idempotent Closure Operators by Preorders

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU140953" target="_blank" >RIV/00216305:26210/22:PU140953 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.tandfonline.com/doi/abs/10.2989/16073606.2021.1884141" target="_blank" >https://www.tandfonline.com/doi/abs/10.2989/16073606.2021.1884141</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.2989/16073606.2021.1884141" target="_blank" >10.2989/16073606.2021.1884141</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Realization of Categorical Idempotent Closure Operators by Preorders

  • Original language description

    In the paper, we introduce the concept of a preorder on a category and study its relation to categorical closure operators. In particular, employing a Galois connection, we show that there is a one-to-one correspondence between the idempotent closure operators and certain preorders on a category.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

  • 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

    Quaestiones Mathematicae

  • ISSN

    1607-3606

  • e-ISSN

    1727-933X

  • Volume of the periodical

    45

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    ZA - SOUTH AFRICA

  • Number of pages

    10

  • Pages from-to

    513-522

  • UT code for WoS article

    000619038900001

  • EID of the result in the Scopus database

    2-s2.0-85100981533