Factorizations of Hopf quasigroups
Rings and Algebras
2022-09-30 v1
Abstract
In this paper we introduce the notion of factorization in the Hopf quasigroup setting and we prove that, if and are Hopf quasigroups such that their antipodes are isomorphisms, a Hopf quasigroup admits a factorization as iff is isomorphic to a double cross product as Hopf quasigroups.
Cite
@article{arxiv.2209.14718,
title = {Factorizations of Hopf quasigroups},
author = {Ramón González Rodríguez},
journal= {arXiv preprint arXiv:2209.14718},
year = {2022}
}