Geodesic
Construction of maximal clones in the set of point functions on interval semilattice
Prikladnaâ diskretnaâ matematika, no. 4 (2011), pp. 5-10

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The description problem for clones in the sets of all point and all minimal point functions on a semilattice is considered. Examples of maximal such clones on the interval semilattice of a lattice are given.
Keywords: clone, upper semilattice, interval semilattice, interval lattice, point function, minimal point function. 
N. G. Parvatov. Construction of maximal clones in the set of point functions on interval semilattice. Prikladnaâ diskretnaâ matematika, no. 4 (2011), pp. 5-10. http://geodesic.mathdoc.fr/item/PDM_2011_4_a0/
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[1] Birkgof G., Teoriya reshëtok, Nauka, M., 1984, 568 pp. | MR

[2] Kurosh A. G., Lektsii po obschei algebre, Nauka, M., 1973, 400 pp.

[3] Agibalov G. P., Diskretnye avtomaty na polureshëtkakh, Izd-vo Tom. un-ta, Tomsk, 1993, 227 pp. | Zbl

[4] Parvatov N. G., “Tochechnye i silno tochechnye funktsii na polureshëtke”, Prikladnaya diskretnaya matematika, 2010, no. 3, 22–40

[5] Parvatov N. G., “Ob invariantakh nekotorykh klassov kvazimonotonnykh funktsii na polureshëtke”, Prikladnaya diskretnaya matematika, 2009, no. 4, 21–27

[6] Parvatov N. G., “Funktsionalnaya polnota v zamknutykh klassakh kvazimonotonnykh i monotonnykh trëkhznachnykh funktsii na polureshëtke”, Diskret. analiz i issled. oper. Ser. 1, 10:1 (2003), 61–78 | MR | Zbl

[7] Parvatov N. G., “Teorema o funktsionalnoi polnote v klasse kvazimonotonnykh funktsii na konechnoi polureshëtke”, Diskret. analiz i issled. oper. Ser. 1, 13:3 (2006), 62–82 | MR