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 date1 Aug 2016
Volume26
Issue5
Early online date17 Jul 2016
DOIs
StatePublished - 1 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.

Notes

Electronic version of an article published as International Journal of Algebra and Computation, Vol. 26 (5), 2016, https://doi.org/10.1142/S0218196716500429. © 2016 copyright World Scientific Publishing Company, http://www.worldscientific.com/.

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