On supernilpotent algebras

@article{Wires2017OnSA,
  title={On supernilpotent algebras},
  author={A. Wires},
  journal={Algebra universalis},
  year={2017},
  volume={80},
  pages={1-37}
}
  • A. Wires
  • Published 2017
  • Mathematics
  • Algebra universalis
We establish a characterization of supernilpotent Mal’cev algebras which generalizes the affine structure of abelian Mal’cev algebras and the recent characterization of 2-supernilpotent Mal’cev algebras. We then show that for varieties in which the two-generated free algebra is finite: (1) neutrality of the higher commutators is equivalent to congruence meet-semidistributivity, and (2) the class of varieties which interpret a Mal’cev term in every supernilpotent algebra is equivalent to the… Expand
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