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 <= 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 > 2 fail to have it.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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