[en] 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.
Disciplines :
Mathématiques
Auteur, co-auteur :
Fripertinger, Harald
Reich, Ludwig
Schwaiger, Jens
TOMASCHEK, Jörg ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Langue du document :
Anglais
Titre :
Associative Formal Power Series in Two Indeterminates
