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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 889–901
DOI: https://doi.org/10.33048/semi.2022.19.075 (Mi semr1548) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

Arities and aritizabilities of first-order theories

S. V. Sudoplatov

Sobolev Institute of Mathematics Academician Koptyug avenue, 4 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.075
Abstract: We study and describe possibilities for arities of elementary theories and of their expansions. Links for arities with respect to Boolean algebras, to disjoint unions and to compositions of structures are shown. Arities and aritizabilities are semantically characterized. The dynamics for arities of theories is described. Possibilities for arities and aritizabilities of theories are illustrated by a series of natural geometric, combinatorial and model-theoretic examples.
Keywords: elementary theory, arity, expansion, aritizability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
The work of the author was carried out in the framework of the State Contract of the Sobolev Institute of Mathematics, Project No. FWNF-2022-0012.
Received January 27, 2022, published December 10, 2022
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C07, 03C10, 03C68
Language: English
Citation: S. V. Sudoplatov, “Arities and aritizabilities of first-order theories”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 889–901
Citation in format AMSBIB
\Bibitem{Sud22}
\by S.~V.~Sudoplatov
\paper Arities and aritizabilities of first-order theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 889--901
\mathnet{http://mi.mathnet.ru/semr1548}
\crossref{https://doi.org/10.33048/semi.2022.19.075}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4518796}
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