Wedderburn–Malcev and Levi theorems for weak Hopf algebras
Volume 154 / 2018
                    
                    
                        Colloquium Mathematicum 154 (2018), 77-96                    
                                        
                        MSC: 16T05, 16T25, 18D10.                    
                                        
                        DOI: 10.4064/cm7335-10-2017                    
                                            
                            Published online: 27 July 2018                        
                                    
                                                Abstract
Let $H$ be a weak Hopf algebra. We mainly investigate the Wedderburn–Malcev theorem and the Levi theorem for weak $H$-comodule (or Lie) algebras by using total integrals and normalized integrals.