English

Nilpotent left quasigroups

Group Theory 2022-04-12 v1

Abstract

In this paper we investigate central congruence of left quasigroups in the sense of Freese and McKenzie \cite{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.

Keywords

Cite

@article{arxiv.2204.04448,
  title  = {Nilpotent left quasigroups},
  author = {Marco Bonatto},
  journal= {arXiv preprint arXiv:2204.04448},
  year   = {2022}
}
R2 v1 2026-06-24T10:43:11.842Z