University of Hertfordshire

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On Algebras with many symmetric operations

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Original languageEnglish
JournalInternational Journal of Algebra and Computation
Journal publication dateAug 2016
Volume26
Issue05
Early online date17 Jul 2014
DOIs
StatePublished - Aug 2016

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.

ID: 9216606