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 |