Properties of the quasilinear clones containing creative functions

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)644-648
Number of pages5
JournalSiberian Mathematical Journal
Volume58
Issue number4
DOIs
Publication statusPublished - 1 Jul 2017

Keywords

  • clone
  • clone identity
  • creative clone
  • hyperidentity
  • quasilinear function

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