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Associative formal power series in two indeterminates |
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| Authors: | Harald Fripertinger Ludwig Reich Jens Schwaiger Jörg Tomaschek |
| Affiliation: | 1. Institut für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universit?t Graz, Heinrichstra?e 36, 8010, Graz, Austria 2. Mathematics Research Unit, Université du Luxembourg, 6, rue Richard Coudenhove-Kalergi, 1359, Luxembourg, Grand Duchy of Luxembourg |
| Abstract: | Investigating the associativity equation for formal power series in two variables we show that the transcendental associative formal power series are of order one or two and that they can be represented by an invertible formal power series in one variable. We also discuss the convergence of associative formal power series. |
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