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Bivariate functional equations around associativity

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Abstract

We study several functional equations in two variables that are closely related to the functional equation of associativity. We analyze the hierarchy among these equations, paying a particular attention to selections, semi-lattices and weakenings of associativity.

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Authors and Affiliations

  1. Departamento de Análisis Económico, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza, Gran Vía 2-4, 50005, Saragossa, Spain

    J. C. Candeal

  2. Departamento de Matemáticas, Universidad Pública de Navarra, Campus Arrosadía, 31006, Pamplona, Spain

    E. Induráin

Authors
  1. J. C. Candeal
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  2. E. Induráin
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Corresponding author

Correspondence to E. Induráin.

Additional information

This work has been supported by the research projects ECO2008-01297 and MTM2009-12872-C02-02 (Spain).

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Candeal, J.C., Induráin, E. Bivariate functional equations around associativity. Aequat. Math. 84, 137–155 (2012). https://doi.org/10.1007/s00010-012-0128-z

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  • DOI: https://doi.org/10.1007/s00010-012-0128-z

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