Geodesic
On sets related to maximal clones
Discussiones Mathematicae. General Algebra and Applications, Tome 32 (2012) no. 1, pp. 101-114

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For an arbitrary h-ary relation ρ we are interested to express n-clone Polⁿρ in terms of some subsets of the set of all n-ary operations Oⁿ(A) on a finite set A, which are in general not clones but we can obtain Polⁿρ from these sets by using intersection and union. Therefore we specify the concept a function preserves a relation and moreover, we study the properties of this new concept and the connection between these sets and Polⁿρ. Particularly we study R_a̲,b^n,k for arbitrary partial order relations, equivalence relations and central relations.
Keywords: operations preserving relations, clones, semigroups 
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Susanti, Yeni; Denecke, Klaus. On sets related to maximal clones. Discussiones Mathematicae. General Algebra and Applications, Tome 32 (2012) no. 1, pp. 101-114. http://geodesic.mathdoc.fr/item/DMGAA_2012_32_1_a4/