Geodesic
Criterion of existance of infinite substructure for some classes of monotone $k$-valued functions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 3, pp. 60-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper continues author's investigation of substructure for classes of monotone functions. Criterion of existance of infinite substructure for some family of classes of monotone functions.
Keywords: multivalued logic; lattice of closed classes; monotone functions. 
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V. B. Larionov. Criterion of existance of infinite substructure for some classes of monotone $k$-valued functions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 3, pp. 60-71. http://geodesic.mathdoc.fr/item/IIGUM_2013_6_3_a4/

[1] V. B. Larionov, Zamknutye klassy $k$-znachnoi logiki, soderzhaschie klassy monotonnykh ili samodvoistvennykh funktsii, Dis. ... kand. fiz.-mat. nauk, 2009, 157 pp.

[2] V. B. Larionov, “O monotonnykh zamknutykh klassakh funktsii mnogoznachnoi logiki s beskonechnoi nadstrukturoi”, Materialy VII molodezhnoi nauchnoi shkoly po diskretnoi matematike i ee prilozheniyam (18–23 maya 2009 g.), IPM im. M. V. Keldysha RAN, M., 2009, 7–12

[3] V. B. Larionov, “O polozhenii nekotorykh klassov monotonnykh $k$-znachnykh funktsii v reshetke zamknutykh klassov”, Diskretnaya matematika, 21:5 (2009), 111–116

[4] V. V. Martynyuk, “Issledovanie nekotorykh klassov funktsii v mnogoznachnykh logikakh”, Problemy kibernetiki, 3, Nauka, M., 1960, 49–61

[5] S. S. Marchenkov, Zamknutye klassy bulevykh funktsii, Fizmatlit, M., 2000, 128 pp. | MR

[6] V. G. Bodnarchuk, V. A. Kaluzhnin, V. N. Kotov, B. A. Romov, “Teoriya Galua dlya algebr Posta”, Kibernetika, 1969, no. 3, 1–10 ; No 5, 1–9 | MR

[7] S. V. Yablonskii, G. P. Gavrilov, A. A. Nabebin, Predpolnye klassy v mnogoznachnykh logikakh, Izd. dom MEI, M., 1997, 144 pp. | MR

[8] Yu. I. Yanov, A. A. Muchnik, “O suschestvovanii $k$-znachnykh zamknutykh klassov, ne imeyuschikh konechnogo bazisa”, Dokl. AN SSSR, 127:1 (1959), 44–46

[9] E. L. Post, Two valued iterative systems of mathematical logic, Annals of Math. Studies, 5, Princeton Univ. Press, Princeton, 1941, 122 pp. | MR

[10] I. G. Rosenberg, “La structure des fonctions de plusiers variables sur un ensemble fini”, Comptes Rendus Acad. Sci. Paris, 260 (1965), 3817–3819 | MR