Associative Formal Power Series in Two Indeterminates

Fripertinger, Harald; Reich, Ludwig; Schwaiger, Jens; Tomaschek, Jörg

doi:10.1007/s00233-013-9533-4

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Article (Scientific journals)

Associative Formal Power Series in Two Indeterminates

Fripertinger, Harald; Reich, Ludwig; Schwaiger, Jens et al.

2014 • In Semigroup Forum, 88 (3), p. 529-540

Peer Reviewed verified by ORBi

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https://hdl.handle.net/10993/14505

DOI
10.1007/s00233-013-9533-4

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Keywords :

Associativity; Formal power series

Abstract :

[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 :

Mathematics

Author, co-author :

Fripertinger, Harald

Reich, Ludwig

Schwaiger, Jens

Tomaschek, Jörg ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit

Language :

English

Title :

Associative Formal Power Series in Two Indeterminates

Publication date :

July 2014

Journal title :

Semigroup Forum

ISSN :

1432-2137

Publisher :

Springer, New York, United States - New York

Volume :

Issue :

Pages :

529-540

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://link.springer.com/article/10.1007/s00233-013-9533-4

Available on ORBilu :

since 09 January 2014

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