Resumen de Generalized Abel functional equations and numerical representability of semiorders

Francisco Javier Abrisqueta Usaola, Juan Carlos Candeal Haro, Raquel G. Catalán, Juan Ramón de Miguel Velasco, Esteban Induráin Eraso

• In the present paper we show an striking relationship between the existence of solutions of a generalization of the Abel functional equation, and the Scott{Suppes representability of semiordered structures. We analyze this relationship and, in addi- tion, we study other functional equations related to the numerical representability of semiordered structures.