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A note on homomorphisms between products of algebras

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73590058" target="_blank" >RIV/61989592:15310/18:73590058 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007%2Fs00012-018-0517-9" target="_blank" >https://link.springer.com/article/10.1007%2Fs00012-018-0517-9</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00012-018-0517-9" target="_blank" >10.1007/s00012-018-0517-9</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A note on homomorphisms between products of algebras

  • Original language description

    We show that in a congruence distributive variety every homomorphism of the finite direct product of algebras can be decomposed into a direct product of homomorphisms on the factors provided the images are hereditary directly irreducible. This is not true for infinite direct products where the decomposition depends on the ultrafilters of the index set.

  • 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

    S - Specificky vyzkum na vysokych skolach

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

    ALGEBRA UNIVERSALIS

  • ISSN

    0002-5240

  • e-ISSN

  • Volume of the periodical

    79

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    7

  • Pages from-to

    1-7

  • UT code for WoS article

    000431737200023

  • EID of the result in the Scopus database

    2-s2.0-85045854096