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Matematicheskie Trudy, 2021, Volume 24, Number 2, Pages 160–180
DOI: https://doi.org/10.33048/mattrudy.2021.24.210 (Mi mt656) 		 
On universal functions in hereditarily finite superstructures

A. N. Khisamiev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/mattrudy.2021.24.210
Abstract: We obtain the necessary and sufficient condition for the existence of an universal $\Sigma$-function in the hereditarily finite superstructure. We show the application of this criterion to various well-known classes of structures.
Key words: hereditarily finite superstructure, $\Sigma_{\omega}$-bounded structure, universal $\Sigma$-function, $\Sigma_f$-bounded structure.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0003
Received: 18.02.2021
Revised: 21.07.2021
Accepted: 30.08.2021
Document Type: Article
UDC: 512.540+510.5
Language: Russian
Citation: A. N. Khisamiev, “On universal functions in hereditarily finite superstructures”, Mat. Tr., 24:2 (2021), 160–180
Citation in format AMSBIB
\Bibitem{Khi21}
\by A.~N.~Khisamiev
\paper On universal functions in hereditarily finite superstructures
\jour Mat. Tr.
\yr 2021
\vol 24
\issue 2
\pages 160--180
\mathnet{http://mi.mathnet.ru/mt656}
\crossref{https://doi.org/10.33048/mattrudy.2021.24.210}
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