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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
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.
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
Linking options:
https://www.mathnet.ru/eng/into1057 https://www.mathnet.ru/eng/into/v214/p30
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Abstract page: | 91 | Full-text PDF : | 42 | References: | 24 |
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