Hopf modules and the fundamental theorem for Hopf (co)quasigroups

2009/12/17 by Tomasz Brzeziński, Brzeziński, Tomasz
Business, Management and Accounting · Engineering · Mathematics · #16T05 #16T15 #FOS: Mathematics #Mathematics and Applications #Optics and Image Analysis #Quantum Algebra (math.QA) #graph theory and CDMA systems #math.QA #msc:16T05 #msc:16T15

paper · pdf · doi:10.48550/arxiv.0912.3452

11 pages; missing (co)associativity in Definition 2.1 added

openalex publication_date 2009/12/17 · arxiv created 2009/12/18 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

The notion of a Hopf module over a Hopf (co)quasigroup is introduced and a version of the fundamental theorem for Hopf (co)quasigroups is proven.

Related

• Weak Hopf Quasigroups
• Integral theory for Hopf (co)quasigroups
• A characterization of weak Hopf (co)quasigroups
• Characterization of Hopf Quasigroups
• Fundamental theorems of Doi-Hopf modules in a nonassociative setting