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Quasivarieties and varieties of ordered algebras: regularity and exactness

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F17%3A00314828" target="_blank" >RIV/68407700:21230/17:00314828 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1017/S096012951500050X" target="_blank" >http://dx.doi.org/10.1017/S096012951500050X</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1017/S096012951500050X" target="_blank" >10.1017/S096012951500050X</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quasivarieties and varieties of ordered algebras: regularity and exactness

  • Original language description

    We characterise quasivarieties and varieties of ordered algebras categorically in terms of regularity, exactness and the existence of a suitable generator. The notions of regularity and exactness need to be understood in the sense of category theory enriched over posets. We also prove that finitary varieties of ordered algebras are cocompletions of their theories under sifted colimits (again, in the enriched sense).

  • 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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematical Structures in Computer Science

  • ISSN

    0960-1295

  • e-ISSN

    1469-8072

  • Volume of the periodical

    27

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    42

  • Pages from-to

    1153-1194

  • UT code for WoS article

    000411727700004

  • EID of the result in the Scopus database