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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 120–124
DOI: https://doi.org/10.33048/semi.2022.19.011 (Mi semr1487) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

Properties of ranks for families of strongly minimal theories

B. Sh. Kulpeshovab, S. V. Sudoplatovbc

a Kazakh British Technical University, 59, Tole bi str., Almaty, 050000, Kazakhstan
b Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
c Sobolev Institute of Mathematics, 4, Acad. Koptyug ave., Novosibirsk, 630090, Russia
Full-text PDF (285 kB) Citations (4)
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DOI: https://doi.org/10.33048/semi.2022.19.011
Abstract: We study rank properties for families of strongly minimal theories. A criterion for $e$-total transcendence of families of strongly minimal theories is obtained in terms of the description of the language symbols.
Keywords: strongly minimal theory, sentence, family of theories, rank for a family of theories.
Funding agency Grant number
Russian Science Foundation 22-21-00044
The research is supported by Russian Scientific Foundation, Project No. 22-21-00044.
Received December 17, 2021, published February 14, 2022
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C07, 03C52
Language: English
Citation: B. Sh. Kulpeshov, S. V. Sudoplatov, “Properties of ranks for families of strongly minimal theories”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 120–124
Citation in format AMSBIB
\Bibitem{KulSud22}
\by B.~Sh.~Kulpeshov, S.~V.~Sudoplatov
\paper Properties of ranks for families of strongly minimal theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 120--124
\mathnet{http://mi.mathnet.ru/semr1487}
\crossref{https://doi.org/10.33048/semi.2022.19.011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4384325}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000762938900011}
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  • https://www.mathnet.ru/eng/semr1487
  • https://www.mathnet.ru/eng/semr/v19/i1/p120
    • This publication is cited in the following 4 articles:
    1. B. Sh. Kulpeshov, Ye. K. Netaliyeva, “STRONGLY MINIMAL PARTIAL ORDERINGS OF HEIGHT TWO”, jour, 22:1 (2025), 223  crossref
    2. B. Sh. Kulpeshov, In. I. Pavlyuk, S. V. Sudoplatov, “Ranks and approximations for families of order theories”, Math. Notes, 116:4 (2024), 669–684  mathnet  crossref  crossref
    3. Beibut Sh. Kulpeshov, Sergey V. Sudoplatov, “Ranks, spectra and their dynamics for families of constant expansions of theories”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 45 (2023), 121–137  mathnet  crossref
    4. Sergey V. Sudoplatov, “Topologies and ranks for families of theories in various languages”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 40 (2022), 78–92  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :46
    References:31
     
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