Document Type
Article
Publication Date
2011
Abstract
In this paper we show that the image of any locally finite k-derivation of the polynomial algebra k[x,y] in two variables over a field k of characteristic zero is a Mathieu subspace. We also show that the two-dimensional Jacobian conjecture is equivalent to the statement that the image of every k-derivation D of k[x,y] such that and is a Mathieu subspace of k[x,y].
Recommended Citation
van den Essen, Arno; Wright, David; and Zhao, Wenhua, "Images of locally finite derivations of polynomial algebras in two variables" (2011). Mathematics Faculty Publications. 1.
https://openscholarship.wustl.edu/math_facpubs/1
Embargo Period
5-15-2012
Comments
Preprint of article which has been published in final form in Journal of Pure and Applied Algebra, 215, issue 9 (2011), 2130-2134. DOI: http://dx.doi.org/10.1016/j.jpaa.2010.12.002. Copyright © 2011 Elsevier Inc.