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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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


Authors: Arno van den Essen and Peter van Rossum
Translated by:
Journal: Trans. Amer. Math. Soc. 356 (2004), 1691-1703
MSC (2000): Primary 13B25, 14J70, 14R10
Published electronically: January 6, 2004
MathSciNet review: 2031037
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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: http://dx.doi.org/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
Published electronically: January 6, 2004
Article copyright: © Copyright 2004 American Mathematical Society