4.1 Article

Associative formal power series in two indeterminates

Journal

SEMIGROUP FORUM
Volume 88, Issue 3, Pages 529-540

Publisher

SPRINGER
DOI: 10.1007/s00233-013-9533-4

Keywords

Associativity; Formal power series

Categories

Funding

  1. National Research Fund, Luxembourg [AFR 3979497]
  2. Marie Curie Actions of the European Commission
  3. University of Luxembourg [F1R-MTH-PUL-12RDO2]

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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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