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Article

Functional Galois connections and a classification of symmetric conservative clones with a finite carrier

Polyakov N. L.

We propose a classification of symmetric conservative clones with a finite carrier. For the study, we use the functional Galois connection (Inv_Q,Pol_Q), which is a natural modification of the connection (Inv,Pol) based on the preservation relation between functions f on a set A (of all finite arities) and sets of functions hAQ for an arbitrary set Q.