Generalized Abel functional equations and numerical representability of semiorders

FRANCISCO J. ABRISQUETA, JUAN CARLOS CANDEAL, RAQUEL G. CATALAN, JUAN R. DE MIGUEL, ESTEBAN INDURAIN
2011 Publicationes mathematicae (Debrecen)  
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 addition, we study other functional equations related to the numerical representability of semiordered structures.
doi:10.5486/pmd.2011.4784 fatcat:btsr4y6wo5hmdp33y2zpyawmie