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.

Original languageEnglish
Pages (from-to)386-394
Number of pages9
JournalAlgebra and Logic
Volume56
Issue number5
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • clone
  • clone identity
  • hyperidentity
  • preiterative algebra
  • quasilinear function
  • separating formula

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