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

 

The Derksen invariant vs. the Makar-Limanov invariant


Authors: Anthony Crachiola and Stefan Maubach
Journal: Proc. Amer. Math. Soc. 131 (2003), 3365-3369
MSC (2000): Primary 14R05; Secondary 13N15
Published electronically: June 19, 2003
MathSciNet review: 1990624
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Abstract: In this article it is shown that the Makar-Limanov invariant of a ring (or variety) can be trivial while the Derksen invariant is not, and vice versa.


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Additional Information

Anthony Crachiola
Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Email: crach@math.wayne.edu

Stefan Maubach
Affiliation: Department of Mathematics, University of Nijmegen, Toernooiveldt, 6525 ED Nijmegen, The Netherlands
Email: stefanm@sci.kun.nl

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07155-7
PII: S 0002-9939(03)07155-7
Keywords: Makar-Limanov invariant, Derksen invariant, ring invariant, locally nilpotent derivation
Received by editor(s): June 12, 2002
Published electronically: June 19, 2003
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2003 American Mathematical Society