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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Authors: Arno van den Essen and Peter van Rossum
Journal: Proc. Amer. Math. Soc. 130 (2002), 1311-1322
MSC (2000): Primary 13B25, 14E25
Published electronically: October 23, 2001
MathSciNet review: 1879952
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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: http://dx.doi.org/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
Published electronically: October 23, 2001
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2001 American Mathematical Society