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Local-global property for G-invariant terms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10452376" target="_blank" >RIV/00216208:11320/22:10452376 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=oKuV.4fNVY" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=oKuV.4fNVY</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/S0218196722500527" target="_blank" >10.1142/S0218196722500527</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Local-global property for G-invariant terms

  • Original language description

    For some Maltsev conditions Sigma it is enough to check if a finite algebra A satisfies Sigma locally on subsets of bounded size in order to decide whether A satisfies Sigma (globally). This local global property is the main known source of tractability results for deciding Maltsev conditions. In this paper, we investigate the local-global property for the existence of a G-term, i.e. an n-ary term that is invariant under permuting its variables according to a permutation group G &lt;= Sym(n). Our results imply in particular that all cyclic loop conditions (in the sense of Bodirsky, Starke, and Vucaj) have the local-global property (and thus can be decided in polynomial time), while symmetric terms of arity n &gt; 2 fail to have it.

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    International Journal of Algebra and Computation

  • ISSN

    0218-1967

  • e-ISSN

    1793-6500

  • Volume of the periodical

    2022

  • Issue of the periodical within the volume

    32

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    23

  • Pages from-to

    1209-1231

  • UT code for WoS article

    000844590400007

  • EID of the result in the Scopus database

    2-s2.0-85133032314