On Algebras with many symmetric operations

Catarina Carvalho; Andrei Krokhin

doi:10.1142/S0218196716500429

On Algebras with many symmetric operations

Catarina Carvalho, Andrei Krokhin

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Abstract

We show that, for each finite algebra A, either it has symmetric term operations of all arities or else some finite algebra in the variety generated by A has two automorphisms without a common fixed point. We also show this two-automorphism condition cannot be replaced by a single fixed-point- free automorphism.

Original language	English
Journal	International Journal of Algebra and Computation
Volume	26
Issue number	5
Early online date	17 Jul 2016
DOIs	https://doi.org/10.1142/S0218196716500429
Publication status	Published - 1 Aug 2016

Keywords

math.RA

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10.1142/S0218196716500429

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Cite this

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On Algebras with many symmetric operations

Abstract

Keywords

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