Properties of the quasilinear clones containing creative functions


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Abstract

We study the problem of characterizing clones on a three-element set by hyperidentities. We prove that there exists a hyperidentity separating any clone of quasilinear functions defined on the set {0, 1, 2} each of them is either a selector or such that all its values belong to {0, 1} from any noncreative clone constituted by such functions incomparable with the initial clone.

About the authors

I. A. Malcev

Sobolev Institute of Mathematics Novosibirsk State University

Author for correspondence.
Email: malcev@math.nsc.ru
Russian Federation, Novosibirsk

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