Subdirectly irreducible medial quandles
Rings and Algebras
2017-12-27 v3
Abstract
We describe all subdirectly irreducible medial quandles. We show that they fall within one of four disjoint classes. In particular, in the finite case they are either connected (and therefore Alexander quandles) or reductive. Moreover, we provide a representation of all non-connected subdirectly irreducible medial quandles.
Keywords
Cite
@article{arxiv.1511.06529,
title = {Subdirectly irreducible medial quandles},
author = {Premysl Jedlicka and Agata Pilitowska and Anna Zamojska-Dzienio},
journal= {arXiv preprint arXiv:1511.06529},
year = {2017}
}