Geodesic
Conditions for maximality of subclones
Prikladnaâ diskretnaâ matematika, no. 1 (2011), pp. 14-25

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The following problem is considered here: is a subclone of a clone maximal or not? To solve the problem, $\wedge$-descriptions and extended $\wedge$-descriptions being sets of predicates are proposed for characterizing subclones. Necessary and sufficient conditions are stated for extended $\wedge$-descriptions to characterize the maximal subclone.
Mots-clés : clon
Keywords: subclon, precompletely subclon, maximum subclon, completeness problem. 
@article{PDM_2011_1_a1,
     author = {N. G. Parvatov},
     title = {Conditions for maximality of subclones},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {14--25},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2011_1_a1/}
}
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N. G. Parvatov. Conditions for maximality of subclones. Prikladnaâ diskretnaâ matematika, no. 1 (2011), pp. 14-25. http://geodesic.mathdoc.fr/item/PDM_2011_1_a1/