I. A. Mal'tsev, “Hyperidentities of quasilinear clones containing creative functions”, Algebra Logika, 2017, Volume 56, Number 5,Pages <nobr>582

Hyperidentities of quasilinear clones containing creative functions

I. A. Mal'tsev^ab

^a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
^b Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia

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.

Keywords: hyperidentity, clone, clone identity, preiterative algebra, separating formula, quasilinear function.

UDC: 512.57

Received: 05.12.2016

DOI: 10.17377/alglog.2017.56.504