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SIFTED COLIMITS, STRONGLY FINITARY MONADS AND CONTINUOUS ALGEBRAS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00389437" target="_blank" >RIV/68407700:21230/25:00389437 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.tac.mta.ca/tac/volumes/44/3/44-03.pdf" target="_blank" >http://www.tac.mta.ca/tac/volumes/44/3/44-03.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    SIFTED COLIMITS, STRONGLY FINITARY MONADS AND CONTINUOUS ALGEBRAS

  • Original language description

    We characterize strongly finitary monads on categories Pos, CPO and DCPO as precisely those preserving sifted colimits. Or, equivalently, enriched finitary monads preserving reflexive coinserters. We study sifted colimits in general enriched categories. For CPO and DCPO we characterize varieties of continuous algebras as precisely the monadic categories for strongly finitary monads.

  • 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/GA22-02964S" target="_blank" >GA22-02964S: Enriched categories and their applications</a><br>

  • Continuities

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

Others

  • Publication year

    2025

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Theory and Applications of Categories

  • ISSN

    1201-561X

  • e-ISSN

    1201-561X

  • Volume of the periodical

    44

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CA - CANADA

  • Number of pages

    48

  • Pages from-to

    84-131

  • UT code for WoS article

    001446275700003

  • EID of the result in the Scopus database

    2-s2.0-85217206570