Geodesic
On some $S_I^*$-precomplete sets of multifunctions of rank 2
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 91-98
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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, $S_I^*$-closure, precomplete set, hyperoperation, multioperation, predicate preservation
Mots-clés : superposition, multiclone 
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E. S. Taglasov. On some $S_I^*$-precomplete sets of multifunctions of rank 2. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 91-98. http://geodesic.mathdoc.fr/item/INTO_2024_234_a11/

[1] Panteleev V. I., Taglasov E. S., “O prinadlezhnosti multifunktsii ranga dva $ES_I^*$-predpolnym mnozhestvam”, Vestn. Buryat. gos. un-ta. Mat. Inform., 2021, no. 2, 3–16 | DOI

[2] Panteleev V. I., Taglasov E. S., “$ES_I$-Zamykanie multifunktsii ranga $2$: kriterii polnoty, klassifikatsiya i tipy bazisov”, Intel. sist. Teor. prilozh., 25:2 (2021), 55–80

[3] Marty F., “Sur une generalization de la notion de groupe”, Congres des Mathematiciens Scandinaves, Stockholm, 1934, 45–49

[4] Doroslovački R., Pantović J., Vojvodić G., “One interval in the lattice of partial hyperclones”, Czechoslovak Math. J., 130:55 (2005), 719–724 | DOI | MR

[5] Pouzet M., Rosenberg I., “Small clones and the projection property”, Algebra Univ., 2010, no. 63, 37–44 | DOI | MR | Zbl