Generalized Abel functional equations and numerical representability of semiorders

• Autores: Francisco Javier Abrisqueta Usaola , Juan Carlos Candeal Haro , Raquel G. Catalán, Juan Ramón de Miguel Velasco , Esteban Induráin Eraso
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 3-4, 2011, págs. 557-568
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4784
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• Resumen

  • 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.