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On prevarieties of logic

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F19%3A00504825" target="_blank" >RIV/67985807:_____/19:00504825 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00012-019-0611-7" target="_blank" >http://dx.doi.org/10.1007/s00012-019-0611-7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00012-019-0611-7" target="_blank" >10.1007/s00012-019-0611-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On prevarieties of logic

  • Original language description

    It is proved that every prevariety of algebras is categorically equivalent to a 'prevariety of logic', i.e., to the equivalent algebraic semantics of some sentential deductive system. This allows us to show that no nontrivial equation in the language 'meet, join, and relational product' holds in the congruence lattices of all members of every variety of logic, and that being a (pre)variety of logic is not a categorical property.

  • 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/EF17_050%2F0008361" target="_blank" >EF17_050/0008361: Enhancing human resources for research in theoretical computer science</a><br>

  • Continuities

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

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Algebra Universalis

  • ISSN

    0002-5240

  • e-ISSN

  • Volume of the periodical

    80

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    11

  • Pages from-to

    37

  • UT code for WoS article

    000484454900001

  • EID of the result in the Scopus database

    2-s2.0-85071938249