English

Medial and semimedial left quasigroups

Group Theory 2020-04-14 v1

Abstract

In this paper we investigate the class of semimedial left quasigroups, a class that properly contains racks and medial left quasigroups. We extend most of the results about commutator theory for racks collected in \cite{CP} and some of the results concerning Malt'sev conditions for quandles collected in \cite{Maltsev_paper} to the class of semimedial left quasigroups.

Keywords

Cite

@article{arxiv.2004.05370,
  title  = {Medial and semimedial left quasigroups},
  author = {Marco Bonatto},
  journal= {arXiv preprint arXiv:2004.05370},
  year   = {2020}
}
R2 v1 2026-06-23T14:47:55.499Z