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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2024, Volume 234, Pages 91–98
DOI: https://doi.org/10.36535/2782-4438-2024-234-91-98 (Mi into1297) 		 
On some $S_I^*$-precomplete sets of multifunctions of rank 2

E. S. Taglasov

Irkutsk State University
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DOI: https://doi.org/10.36535/2782-4438-2024-234-91-98
Abstract: In this paper, we consider multifunctions defined on a two-element set and returning subsets of a given set as values. We discuss the question of describing all sets that are precomplete with respect to the superposition operation. We give examples of two precomplete sets described in the language of predicate preservation by function; their closedness and precompleteness with respect to the closure under consideration are proved, and an example of a complete set is given.
Keywords: multifunction, superposition, $S_I^*$-closure, precomplete set, hyperoperation, multioperation, multiclone, predicate preservation
Funding agency Grant number
Irkutsk State University 091-23-304
This work was supported by a grant from Irkutsk State University for young scientists, project No. 091-23-304 "Criterion for $S_I^*$-completeness of multioperations of rank 2."
Document Type: Article
UDC: 519.716.2
MSC: 03B50, 08A99
Language: Russian
Citation: E. S. Taglasov, “On some $S_I^*$-precomplete sets of multifunctions of rank 2”, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234, VINITI, Moscow, 2024, 91–98
Citation in format AMSBIB
\Bibitem{Tag24}
\by E.~S.~Taglasov
\paper On some $S_I^*$-precomplete sets of multifunctions of rank 2
\inbook Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications"
(DYSC 2023). Irkutsk, September 18-23, 2023
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 234
\pages 91--98
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1297}
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