On Algebras with many symmetric operations
Rings and Algebras
2016-05-16 v2
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.
Cite
@article{arxiv.1406.5061,
title = {On Algebras with many symmetric operations},
author = {Catarina Carvalho and Andrei Krokhin},
journal= {arXiv preprint arXiv:1406.5061},
year = {2016}
}