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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 214, Pages 30–36
DOI: https://doi.org/10.36535/0233-6723-2022-214-30-36
(Mi into1057)
 

On a set of $E$-closed classes of multifunctions on a two-element set

A. S. Zinchenko, B. P. Ilyin, V. I. Panteleev, L. V. Ryabets

Irkutsk State University
References:
Abstract: In this paper, we consider closed classes of multifunctions defined on a two-element set and their closure operator based on the composition operator by union and the equality predicate branching operator. We show that the set of multifunctions that does not take the value of zero at any set of variables contains 76 E-closed classes.
Keywords: closure, equality predicate, multifunction, closed set, composition, precomplete set.
Document Type: Article
UDC: 519.716
MSC: 03B50, 08A99
Language: Russian
Citation: A. S. Zinchenko, B. P. Ilyin, V. I. Panteleev, L. V. Ryabets, “On a set of $E$-closed classes of multifunctions on a two-element set”, Algebra, Geometry, and Combinatorics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 214, VINITI, Moscow, 2022, 30–36
Citation in format AMSBIB
\Bibitem{ZinIlyPan22}
\by A.~S.~Zinchenko, B.~P.~Ilyin, V.~I.~Panteleev, L.~V.~Ryabets
\paper On a set of $E$-closed classes of multifunctions on a two-element set
\inbook Algebra, Geometry, and Combinatorics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 214
\pages 30--36
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1057}
\crossref{https://doi.org/10.36535/0233-6723-2022-214-30-36}
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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