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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1313–1319
DOI: https://doi.org/10.33048/semi.2023.20.079 (Mi semr1642) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On positive completeness and positively closed sets of multifunctions of rank $2$

I. K. Sharankhaev

Dorzhi Banzarov Buryat State University, 24a, Smolina str., 670000, Ulan-Ude, Russia
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DOI: https://doi.org/10.33048/semi.2023.20.079
Abstract: In article the problem of expressibility of multifunctions of rank $2$ by positive closure operator is considered. A necessary and sufficient condition for the positive completeness of an arbitrary set of multifunctions and all positively closed sets of multifunctions are found.
Keywords: multifunction, positive closure, superposition, completeness, $k$-valued logic.
Funding agency Grant number
Russian Science Foundation 22-21-20013
Received April 23, 2023, published November 24, 2023
Document Type: Article
UDC: 519.716
MSC: 08A99
Language: Russian
Citation: I. K. Sharankhaev, “On positive completeness and positively closed sets of multifunctions of rank $2$”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1313–1319
Citation in format AMSBIB
\Bibitem{Sha23}
\by I.~K.~Sharankhaev
\paper On positive completeness and positively closed sets of multifunctions of rank~$2$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 1313--1319
\mathnet{http://mi.mathnet.ru/semr1642}
\crossref{https://doi.org/10.33048/semi.2023.20.079}
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