On Algebras with many symmetric operations

Catarina Carvalho, Andrei Krokhin

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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 languageEnglish
JournalInternational Journal of Algebra and Computation
Issue number5
Early online date17 Jul 2016
Publication statusPublished - 1 Aug 2016


  • math.RA


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