| Title | Images of locally finite derivations of polynomial algebras in two variables |
| Author(s) | Arno van den Essen, David Wright, Wenhua Zhao |
| Type | Article in Journal |
| 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 Im D of every k -derivation D of k [ x , y ] such that 1 ∈ Im D and div  D = 0 is a Mathieu subspace of k [ x , y ] . |
| ISSN | 0022-4049 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0022404910002823 |
| Language | English |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 215 |
| Number | 9 |
| Pages | 2130 - 2134 |
| Year | 2011 |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
