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Triangular derivations related to problems on affine $n$-space

Author(s): Arno van den Essen; Peter van Rossum
Journal: Proc. Amer. Math. Soc. 130 (2002), 1311-1322.
MSC (2000): Primary 13B25, 14E25
Posted: October 23, 2001
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Abstract | References | Similar articles | Additional information

Abstract: This paper studies the Cancellation Problem, the Embedding Problem, and the Linearization Problem. It shows how these problems can be related to a special class of locally nilpotent derivations.


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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@sci.kun.nl

Peter van Rossum
Affiliation: Department of Mathematics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands
Address at time of publication: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email: petervr@sci.kun.nl, petervr@nmsu.edu

DOI: 10.1090/S0002-9939-01-06212-8
PII: S 0002-9939(01)06212-8
Keywords: Cancellation Problem, Embedding Problem, Linearization Problem, triangular derivations, locally nilpotent derivations, rectifiable embeddings
Received by editor(s): May 24, 2000
Received by editor(s) in revised form: November 12, 2000
Posted: October 23, 2001
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 2001, American Mathematical Society


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