An analytic description of the class of rational associative functions

Katarzyna Domańska

Abstract


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

Keywords


associativity; rational function; polynomial in two variables

Mathematics Subject Classification


39B22

References


Aczél, J. "Lectures on functional equations and their applications." New York-London: Academic Press, 1966.

Chéritat, A. "Fractions rationnelles associatives et corps quadratiques." Revue des Mathématiques de l’Enseignement Supérieur 109 (1998-1999): 1025-1040.

Domańska, K. "Cauchy type equations related to some singular associative operations." Glas. Mat. 31 (1996): 135-149.

Domańska, K. and R. Ger. "Addition formulae with singularities." Ann. Math. Sil. 18 (2004): 7-20.

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


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