On Algebras with many symmetric operations

Catarina Carvalho; Andrei Krokhin

doi:10.1142/S0218196716500429

On Algebras with many symmetric operations

Catarina Carvalho, Andrei Krokhin

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

162 Downloads (Pure)

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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