Title

Images of locally finite derivations of polynomial algebras in two variables

Authors

Arno van den Essen, Radboud University
David Wright, Washington University in St Louis
Wenhua Zhao, Illinois State University

Author's Department

Mathematics

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].

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.

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