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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 4, Pages 828–833
DOI: https://doi.org/10.17377/smzh.2017.58.410 (Mi smj2901) 		 
Properties of the quasilinear clones containing creative functions

I. A. Malcevab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2017.58.410
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: hyperidentity, quasilinear function, clone, clone identity, creative clone.
Received: 30.12.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 4, Pages 644–648
DOI: https://doi.org/10.1134/S0037446617040103
Bibliographic databases:
Document Type: Article
UDC: 512.57
MSC: 35R30
Language: Russian
Citation: I. A. Malcev, “Properties of the quasilinear clones containing creative functions”, Sibirsk. Mat. Zh., 58:4 (2017), 828–833; Siberian Math. J., 58:4 (2017), 644–648
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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