An analytic description of the class of rational associative functions

Authors

Katarzyna Domańska Institute of Mathematics and Computer Science, Jan Długosz Academy of Częstochowa

We deal with the following problem: which rational functions of two variables are associative? We provide a complete answer to that question.

J. Aczél, Lectures on functional equations and their applications, Academic Press, New York-London 1966.
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A. Chéritat, Fractions rationnelles associatives et corps quadratiques, Revue des Mathématiques de l’Enseignement Supérieur 109 (1998-1999), 1025–1040.
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K. Domańska, Cauchy type equations related to some singular associative operations, Glas. Mat. 31 (1996), 135–149.
##plugins.generic.googleScholarLinks.settings.viewInGS##

K. Domańska, R. Ger Addition formulae with singularities, Ann. Math. Sil. 18 (2004), 7–20.
##plugins.generic.googleScholarLinks.settings.viewInGS##

L. Losonczi, Local solutions of functional equations, Glas. Mat. 25 (1990), 57–67.
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