Mal'cev classes of left-quasigroups and Quandles

Published 11 Apr 2020 in math.GR | (2004.05368v2)

Abstract: In this paper we investigate some Mal'cev classes of varieties of left-quasigroups. We prove that the weakest Mal'cev condition for a variety of left-quasigroup is having a Mal'cev term. Then we specialize to the setting of quandles for which we prove that the meet semidistributive varieties are those which have no finite models.

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