On Algebras with many symmetric operations
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Author
Carvalho, Catarina
Krokhin, Andrei
Attention
2299/19798
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.