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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 980–985
DOI: https://doi.org/10.17377/semi.2017.14.082 (Mi semr839) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Mathematical logic, algebra and number theory

On semilattices and lattices for families of theories

S. V. Sudoplatovabcd

a Sobolev Institute of Mathematics, Academician Koptyug avenue, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova street, 1, 630090, Novosibirsk, Russia
c Institute of Mathematics and Mathematical Modeling, Pushkina Street, 125, 050010, Almaty, Kazakhstan
d Novosibirsk State Technical University, K. Marx avenue, 20, 630073, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.082
Abstract: We define and study semilattices and lattices for $E$-closed families of theories. Properties of these semilattices and lattices are investigated. It is shown that lattices for families of theories with the least generating sets are distributive.
Keywords: $E$-operator, combination of theories, family of theories, least generating set, semilattice, lattice.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-6848.2016.1
Russian Foundation for Basic Research 17-01-00531_а
Ministry of Education and Science of the Republic of Kazakhstan 0830/GF4
The research is partially supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (Grant NSh-6848.2016.1), by Russian Foundation for Basic Researches (Grant No. 17-01-00531), and by Committee of Science in Education and Science Ministry of the Republic of Kazakhstan (Grant No. 0830/GF4).
Received January 31, 2017, published September 29, 2017
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C30, 03C50, 54A05, 06B30
Language: English
Citation: S. V. Sudoplatov, “On semilattices and lattices for families of theories”, Sib. Èlektron. Mat. Izv., 14 (2017), 980–985
Citation in format AMSBIB
\Bibitem{Sud17}
\by S.~V.~Sudoplatov
\paper On semilattices and lattices for families of theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 980--985
\mathnet{http://mi.mathnet.ru/semr839}
\crossref{https://doi.org/10.17377/semi.2017.14.082}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454861900015}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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