English

Two Galois connections for left quasigroups

Group Theory 2023-11-27 v1

Abstract

We investigate two Galois connection between the congruence lattice and the lattice of subgroups of the displacement group of left quasigroups. Such connections were already studied for racks and quandles. We introduce the class of left quasigroups having congruence determined by subgroups (resp. orbits) and we extend a known result for quandles.

Keywords

Cite

@article{arxiv.2311.14574,
  title  = {Two Galois connections for left quasigroups},
  author = {Marco Bonatto},
  journal= {arXiv preprint arXiv:2311.14574},
  year   = {2023}
}
R2 v1 2026-06-28T13:30:35.701Z