B. Sh. Kulpeshov, S. V. Sudoplatov, “Distributions of countable models of quite $o$-minimal Ehrenfeucht theories”, Eurasian Math. J., 11:3 (2020), 66

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Eurasian Mathematical Journal, 2020, Volume 11, Number 3, Pages 66–78
DOI: https://doi.org/10.32523/2077-9879-2020-11-3-66-78 (Mi emj375)

This article is cited in 4 scientific papers (total in 4 papers)

Distributions of countable models of quite

$o$ -minimal Ehrenfeucht theories

B. Sh. Kulpeshov^ab, S. V. Sudoplatov^cde

^a School of Mathematics and Cybernetics, Kazakh-British Technical University, 59 Tole bi St, 050000 Almaty, Kazakhstan
^b Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, 050010 Almaty, Kazakhstan
^c Laboratory of Logic Systems, Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences, 4 Academician Koptyug Avenue, 630090 Novosibirsk, Russia
^d Chair of Algebra and Mathematical Logic, Novosibirsk State Technical University, 20 K. Marx Avenue, 630073 Novosibirsk, Russia
^e Chair of Algebra and Mathematical Logic, Novosibirsk State University, 1 Pirogov St, 630090 Novosibirsk, Russia

Full-text PDF (489 kB) Citations (4)

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DOI: https://doi.org/10.32523/2077-9879-2020-11-3-66-78

Abstract: We describe Rudin–Keisler preorders and distribution functions of numbers of limit models for quite

$o$ -minimal Ehrenfeucht theories. Decomposition formulas for these distributions are found.

Keywords and phrases: quite

$o$ -minimal theory, Ehrenfeucht theory, distribution of countable models, decomposition formula.

Funding agency	Grant number
Ministry of Education and Science of the Republic of Kazakhstan	AP08855544
Siberian Branch of Russian Academy of Sciences	I.1.1 (project no. 0314-2019-0002)
This research has been funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (grant no. AP08855544), and by the program of fundamental scientific researches of the Siberian Branch of the Russian Academy of Sciences no. I.1.1 (project no. 0314-2019-0002).

Received: 29.08.2018

Bibliographic databases:

Document Type: Article

MSC: 03C64, 03C07, 03C15, 03C50

Language: English

Citation: B. Sh. Kulpeshov, S. V. Sudoplatov, “Distributions of countable models of quite

$o$ -minimal Ehrenfeucht theories”, Eurasian Math. J., 11:3 (2020), 66–78

Citation in format AMSBIB

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\by B.~Sh.~Kulpeshov, S.~V.~Sudoplatov

\paper Distributions of countable models of quite $o$-minimal Ehrenfeucht theories

\jour Eurasian Math. J.

\yr 2020

\vol 11

\issue 3

\pages 66--78

\mathnet{http://mi.mathnet.ru/emj375}

\crossref{https://doi.org/10.32523/2077-9879-2020-11-3-66-78}

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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85101762674}

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https://www.mathnet.ru/eng/emj375

https://www.mathnet.ru/eng/emj/v11/i3/p66

This publication is cited in the following 4 articles:

B. Sh. Kulpeshov, S. V. Sudoplatov, “Spherical orders, properties and countable spectra of their theories”, Sib. elektron. matem. izv., 20:2 (2023), 588–599
I. V. Latkin, “The recognition complexity of decidable theories”, Eurasian Math. J., 13:1 (2022), 44–68
N. D. Markhabatov, S. V. Sudoplatov, “Ranks for families of all theories of given languages”, Eurasian Math. J., 12:2 (2021), 52–58
S. V. Sudoplatov, “Distributions of countable models of disjoint unions of Ehrenfeucht theories”, Lobachevskii J. Math., 42:1 (2021), 195–205

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	161
Full-text PDF :	78
References:	53

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