Hyperidentities of Quasilinear Clones Containing Creative Functions


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Abstract

We consider the possibility for separating by hyperidentities clones of quasilinear functions defined on the set {0, 1, 2} with values in the set {0, 1}. It is proved that every creative clone of this kind can be separated by a hyperidentity from any noncreative clone comparable with it.

About the authors

I. A. Mal’tsev

Sobolev Institute of Mathematics; Novosibirsk State University

Author for correspondence.
Email: malcev@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090

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