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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 5 scientific papers (total in 5 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
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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
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\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
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\crossref{https://doi.org/10.33048/semi.2022.19.011}
\mathscinet{https://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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    • This publication is cited in the following 5 articles:
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