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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 612–630
DOI: https://doi.org/10.17377/semi.2018.15.049 (Mi semr940) 		 
Mathematical logic, algebra and number theory

On freedom and independence in hypergraphs of models of theories

B. Sh. Kulpeshova, S. V. Sudoplatovbcd

a International Information Technologies University, Manas str. 34A/Zhandosov str. 8A, 050040, Almaty, Kazakhstan
b Novosibirsk State University, Pirogova street, 1, 630090, Novosibirsk, Russia
c Sobolev Institute of Mathematics, Academician Koptyug avenue, 4, 630090, Novosibirsk, Russia
d Novosibirsk State Technical University, K. Marx avenue, 20, 630073, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.049
Abstract: The notions of freedom and independence for hypergraphs of models of a theory are introduced. We study properties of these notions in general case and for some natural classes of theories. We describe hypergraphs of models for theories of unary predicates, equivalence relations and study the properties of hypergraphs for ordered theories and for theories of unars.
Keywords: hypergraph of models, elementary theory, free set, independent sets, complete union of hypergraphs.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132546
Russian Foundation for Basic Research 17-01-00531_a
This research was partially supported by Committee of Science in Education and Science Ministry of the Republic of Kazakhstan (Grant No. AP05132546) and Russian Foundation for Basic Researches (Project No. 17-01-00531-a).
Received March 3, 2018, published May 24, 2018
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C07, 03C50, 03C64, 54A05
Language: English
Citation: B. Sh. Kulpeshov, S. V. Sudoplatov, “On freedom and independence in hypergraphs of models of theories”, Sib. Èlektron. Mat. Izv., 15 (2018), 612–630
Citation in format AMSBIB
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\by B.~Sh.~Kulpeshov, S.~V.~Sudoplatov
\paper On freedom and independence in hypergraphs of models of theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 612--630
\mathnet{http://mi.mathnet.ru/semr940}
\crossref{https://doi.org/10.17377/semi.2018.15.049}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000438412200049}
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