Factorizations of Hopf quasigroups
Ram\'on Gonz\'alez Rodr\'iguez

TL;DR
This paper introduces the concept of factorization in Hopf quasigroups and characterizes when a Hopf quasigroup can be expressed as a double cross product of two others, under certain conditions.
Contribution
It defines factorization in Hopf quasigroups and establishes an equivalence with double cross product structures when antipodes are isomorphisms.
Findings
Factorization in Hopf quasigroups is characterized by double cross products.
A Hopf quasigroup admits a factorization iff it is isomorphic to a double cross product.
The antipodes being isomorphisms is a key condition for the main result.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsgraph theory and CDMA systems · Mathematics and Applications
