Sur les paires d'équations pré-Schröder et leur équivalence
Volume 84 / 2004
                    
                    
                        Annales Polonici Mathematici 84 (2004), 169-176                    
                                        
                        MSC: Primary 39B72.                    
                                        
                        DOI: 10.4064/ap84-2-6                    
                                    
                                                Abstract
Pairs of functional pre-Schröder equations ($S_n$) are considered. We show that under some assumptions the system of two equations $(S_3)$, $(S_n)$ for some $n\geq 4$ is equivalent to the system of all equations $(S_n)$ for $n\geq 2$. The results answer a question of Gy. Targonski [5] in a particular case.