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A Logical and Algebraic Characterization of Adjunctions between Generalized Quasi-Varieties

Result description

We present a logical and algebraic description of right adjoint functors between generalized quasi-varieties, inspired by the work of McKenzie on category equivalence. This result is achieved by developing a correspondence between the concept of adjunction and a new notion of translation between relative equational consequences.

Keywords

adjunctionadjoint functorcategory theoryuniversal algebracategory equivalencematrix powercontextual translationlocally presentable category

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Logical and Algebraic Characterization of Adjunctions between Generalized Quasi-Varieties

  • Original language description

    We present a logical and algebraic description of right adjoint functors between generalized quasi-varieties, inspired by the work of McKenzie on category equivalence. This result is achieved by developing a correspondence between the concept of adjunction and a new notion of translation between relative equational consequences.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Symbolic Logic

  • ISSN

    0022-4812

  • e-ISSN

  • Volume of the periodical

    83

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    21

  • Pages from-to

    899-919

  • UT code for WoS article

    000448035800003

  • EID of the result in the Scopus database

    2-s2.0-85051267771

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Pure mathematics

Year of implementation

2018