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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2014 Volume 55, Number 2, Pages 350–363 (Mi smj2538)

This article is cited in 4 papers

Hyperidentities of quasilinear clones on the three-element set

I. A. Malcevab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: Under study is the possibility of distinguishing by formulas the clones of quasilinear functions on the three-element set. We find a distinguishing formula for every pair of the nonisomorphic clones of this type without creative functions and indicate the pairs of clones indistinguishable by hyperidentities with unary function variables.

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

UDC: 512.57

Received: 30.12.2013


 English version:
Siberian Mathematical Journal, 2014, 55:2, 284–295

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© Steklov Math. Inst. of RAS, 2024