On the trivial extensions of tubular algebras
Tom 101 / 2004
                    
                    
                        Colloquium Mathematicum 101 (2004), 259-269                    
                                        
                        MSC: 16D50, 16G20, 16G60, 16G70.                    
                                        
                        DOI: 10.4064/cm101-2-8                    
                                    
                                                Streszczenie
The aim of this note is to give an affirmative answer to a problem raised in \cite{NS} by J. Nehring and A. Skowroński, concerning the number of nonstable $\mathbb{P}_1(K)$-families of quasi-tubes in the Auslander–Reiten quivers of the trivial extensions of tubular algebras over algebraically closed fields $K$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            