Properties of the quasilinear clones containing creative functions
- Authors: Malcev I.A.1
-
Affiliations:
- Sobolev Institute of Mathematics Novosibirsk State University
- Issue: Vol 58, No 4 (2017)
- Pages: 644-648
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171320
- DOI: https://doi.org/10.1134/S0037446617040103
- ID: 171320
Cite item
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.
Keywords
About the authors
I. A. Malcev
Sobolev Institute of Mathematics Novosibirsk State University
Author for correspondence.
Email: malcev@math.nsc.ru
Russian Federation, Novosibirsk
Supplementary files
