Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1037–1051
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.064 (Mi semr1627) 		 
Mathematical logic, algebra and number theory

Constant expansion of theories and the number of countable models

B. S. Baizhanovab, O. A. Umbetbayevca

a Institute of Mathematics and Mathematical Modeling, 28 Shevchenko Street, 050010, Almaty, Kazakhstan
b SDU University, 1/1 Abylai khan Street, 040900, Kaskelen, Kazakhstan
c Kazakh-British Technical University, 59 Tole bi Street, 050000, Almaty, Kazakhstan
Full-text PDF (411 kB)
References:
PDF
HTML
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.064
Abstract: The present paper is dedicated to the method of constant expansion of a complete theory for studying its number of countable models. This paper aims to rehabilitate the method of constant expansion by demonstrating its continued relevance and its potential for use in counting the number of countable models. The main result reveals that the question of reducing the number of countable models from the continuum to a countable number by a constant expansion of a theory remains unanswered, contrary to previous beliefs.
Keywords: small theory, the number of countable models, expansion by constants, non-orthogonality of types, ordered structures.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP14971869
This research is funded by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant No. AP14971869).
Received July 17, 2023, published November 12, 2023
Document Type: Article
UDC: 510.67
MSC: 03C15,03C64
Language: English
Citation: B. S. Baizhanov, O. A. Umbetbayev, “Constant expansion of theories and the number of countable models”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1037–1051
Citation in format AMSBIB
\Bibitem{BaiUmb23}
\by B.~S.~Baizhanov, O.~A.~Umbetbayev
\paper Constant expansion of theories and the number of countable models
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 1037--1051
\mathnet{http://mi.mathnet.ru/semr1627}
\crossref{https://doi.org/doi.org/10.33048/semi.2023.20.064}
Linking options:
  • https://www.mathnet.ru/eng/semr1627
  • https://www.mathnet.ru/eng/semr/v20/i2/p1037
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:37
    Full-text PDF :32
    References:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024