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Algebra i logika, 2017, Volume 56, Number 5, Pages 582–592
DOI: https://doi.org/10.17377/alglog.2017.56.504 (Mi al817) 		 
Hyperidentities of quasilinear clones containing creative functions

I. A. Mal'tsevab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.17377/alglog.2017.56.504
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.
Received: 05.12.2016
English version:
Algebra and Logic, 2017, Volume 56, Issue 5, Pages 386–394
DOI: https://doi.org/10.1007/s10469-017-9460-7
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: I. A. Mal'tsev, “Hyperidentities of quasilinear clones containing creative functions”, Algebra Logika, 56:5 (2017), 582–592; Algebra and Logic, 56:5 (2017), 386–394
Citation in format AMSBIB
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    		Алгебра и логика Algebra and Logic
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