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Izvestiya: Mathematics, 2021, Volume 85, Issue 6, Pages 1257–1269
DOI: https://doi.org/10.1070/IM9107 (Mi im9107) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Lattice of definability (of reducts) for integers with successor

A. L. Semenovabc, S. F. Soprunovd

a Lomonosov Moscow State University
b Federal Research Center ‘Informatics and Control’ of Russian Academy of Science
c Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
d Centre of pedagogical workmanship
English version PDF (452 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM9107
Abstract: In this paper the lattice of definability for integers with a successor (the relation $y = x + 1$) is described. The lattice, whose elements are also knows as reducts, consists of three (naturally described) infinite series of relations. The proof uses a version of the Svenonius theorem for structures of special form.
Keywords: definability, reducts, Svenonius theorem.
Funding agency Grant number
Russian Science Foundation 17-11-01377
Russian Foundation for Basic Research 19-29-14199
This work was supported by the Russian Science Foundation (A. L. Semenov, grant no. 17-11-01377, Sections 1, 3, and 5) and the Russian Foundation for Basic Research (S. F. Soprunov, grant no. 19-29-14199, Sections 2 and 4).
Received: 27.09.2020
Revised: 12.01.2021
Bibliographic databases:
Document Type: Article
UDC: 510.635
Language: English
Original paper language: Russian
Citation: A. L. Semenov, S. F. Soprunov, “Lattice of definability (of reducts) for integers with successor”, Izv. Math., 85:6 (2021), 1257–1269
Citation in format AMSBIB
\Bibitem{SemSop21}
\by A.~L.~Semenov, S.~F.~Soprunov
\paper Lattice of definability (of reducts) for integers with successor
\jour Izv. Math.
\yr 2021
\vol 85
\issue 6
\pages 1257--1269
\mathnet{http://mi.mathnet.ru//eng/im9107}
\crossref{https://doi.org/10.1070/IM9107}
\zmath{https://zbmath.org/?q=an:07480692}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021IzMat..85.1257S}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85124241199}
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  • https://doi.org/10.1070/IM9107
  • https://www.mathnet.ru/eng/im/v85/i6/p245
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:104
    English version PDF:35
    Russian version HTML:197
    References:42
    First page:12
     
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