Nilpotent left quasigroups

Abstract

In this paper we investigate central congruence of left quasigroups in the sense of Freese and McKenzie comm and we extend some known results for quandles. In particular, we can extend the characterization of finite nilpotent latin quandles and the characterization of distributive varieties of quandles to the setting of idempotent left quasigroups.

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