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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1730–1740
DOI: https://doi.org/10.33048/semi.2020.17.118 (Mi semr1312) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On axiomatizability of the class of finitary matroids and decidability of their universal theory

A. V. Il'eva, V. P. Il'evb

a Sobolev Institute of Mathematics, 13, Pevtsova str., Omsk, 644043, Russia
b Dostoevsky Omsk State University, 55a, Mira ave., Omsk, 644077, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.118
Abstract: In the paper, finitary matroids are studied by means of the model theory. It is shown that the class of finitary matroids is nonaxiomatizable. Decidability of the universal theory of this class is proved.
Keywords: axiomatizability, finitary matroid, universal theory, decidability.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1.4, проект 0314-2019-0004
Received February 17, 2020, published October 26, 2020
Bibliographic databases:
Document Type: Article
UDC: 510.67, 519.151
MSC: 03C48, 05B35
Language: Russian
Citation: A. V. Il'ev, V. P. Il'ev, “On axiomatizability of the class of finitary matroids and decidability of their universal theory”, Sib. Èlektron. Mat. Izv., 17 (2020), 1730–1740
Citation in format AMSBIB
\Bibitem{IleIle20}
\by A.~V.~Il'ev, V.~P.~Il'ev
\paper On axiomatizability of the class of finitary matroids and decidability of their universal theory
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1730--1740
\mathnet{http://mi.mathnet.ru/semr1312}
\crossref{https://doi.org/10.33048/semi.2020.17.118}
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