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Coordinates in two variables over a $\mathbb{Q} $-algebra

Author(s): Arno van den Essen; Peter van Rossum
Journal: Trans. Amer. Math. Soc. 356 (2004), 1691-1703.
MSC (2000): Primary 13B25, 14J70, 14R10
Posted: January 6, 2004
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Abstract | References | Similar articles | Additional information

Abstract: This paper studies coordinates in two variables over a $\mathbb{Q} $-algebra. It gives several ways to characterize such coordinates. Also, various results about coordinates in two variables that were previously only known for fields, are extended to arbitrary $\mathbb{Q} $-algebras.

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Additional Information:

Arno van den Essen
Affiliation: Department of Mathematics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands
Email: essen@math.kun.nl

Peter van Rossum
Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email: petervr@nmsu.edu

DOI: 10.1090/S0002-9947-04-03492-0
PII: S 0002-9947(04)03492-0
Keywords: Coordinates, locally nilpotent derivations, embeddings
Received by editor(s): February 8, 2001
Posted: January 6, 2004
Copyright of article: Copyright 2004, American Mathematical Society

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