2022/09/29 by R. González Rodrı́guez, Rodríguez, Ramón González
Engineering · Mathematics · #16T99 #18M05 #20N05 #FOS: Mathematics #Mathematics and Applications #Rings and Algebras (math.RA) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2209.14718
openalex publication_date 2022/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we introduce the notion of factorization in the Hopf quasigroup setting and we prove that, if A and H are Hopf quasigroups such that their antipodes are isomorphisms, a Hopf quasigroup X admits a factorization as X=AH iff X is isomorphic to a double cross product A\bowtie H as Hopf quasigroups.