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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1833–1842
DOI: https://doi.org/10.33048/semi.2019.16.130 (Mi semr1171) 		 
Mathematical logic, algebra and number theory

Conflict and conflict-free theories

A. Yu. Mikhaylenkoa, S. V. Sudoplatovbca

a Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
b Sobolev Institute of Mathematics, 4, Academician Koptyug ave., Novosibirsk, 630090, Russia
c Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.130
Abstract: We define and study $\lambda$-conflict theories and, in particular, conflict-free theories. A series of conflict-free theories is found. It is proved that there are $\lambda$-conflict theories for arbitrary $\lambda$. It is shown that $\lambda$-conflictness is not preserved under expansions of theories.
Keywords: conflict theory, conflict-free theory, generic structure, cardinality contradiction.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1, project No. 0314-2019-0002
Russian Foundation for Basic Research 17-01-00531_a
Ministry of Education and Science of the Republic of Kazakhstan AP05132546
This research was partially supported by the program of fundamental scientific researches of the SB RAS No. I.1.1, project No. 0314-2019-0002, Russian Foundation for Basic Researches (Project No. 17-01-00531-a), and Committee of Science in Education and Science Ministry of the Republic of Kazakhstan (Grant No. AP05132546).
Received November 8, 2019, published December 5, 2019
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C30, 03C45, 03C15, 03C52
Language: English
Citation: A. Yu. Mikhaylenko, S. V. Sudoplatov, “Conflict and conflict-free theories”, Sib. Èlektron. Mat. Izv., 16 (2019), 1833–1842
Citation in format AMSBIB
\Bibitem{MikSud19}
\by A.~Yu.~Mikhaylenko, S.~V.~Sudoplatov
\paper Conflict and conflict-free theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1833--1842
\mathnet{http://mi.mathnet.ru/semr1171}
\crossref{https://doi.org/10.33048/semi.2019.16.130}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000501163400010}
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