On Algebras with many symmetric operations

Catarina Carvalho, Andrei Krokhin

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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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 languageEnglish
JournalInternational Journal of Algebra and Computation
Volume26
Issue number5
Early online date17 Jul 2016
DOIs
Publication statusPublished - 1 Aug 2016

Keywords

  • math.RA

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