### Abstract

We show that the torsion part of ℂ^{[n]} with respect to the action of a derivation is algebraically closed in ℂ if the flow associated with the derivation is analytic on ℂ×ℂ^{[n]}, We also present a connection between this result and Keller’s Jacobian conjecture.

Original language | English (US) |
---|---|

Pages (from-to) | 2191-2197 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 123 |

Issue number | 7 |

DOIs | |

State | Published - 1995 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**On the torsion part of ℂ ^{[n]} with respect to the action of a derivation.** / Coomes, Brian A.

Research output: Contribution to journal › Article

^{[n]}with respect to the action of a derivation',

*Proceedings of the American Mathematical Society*, vol. 123, no. 7, pp. 2191-2197. https://doi.org/10.1090/S0002-9939-1995-1273485-7

}

TY - JOUR

T1 - On the torsion part of ℂ[n] with respect to the action of a derivation

AU - Coomes, Brian A

PY - 1995

Y1 - 1995

N2 - We show that the torsion part of ℂ[n] with respect to the action of a derivation is algebraically closed in ℂ if the flow associated with the derivation is analytic on ℂ×ℂ[n], We also present a connection between this result and Keller’s Jacobian conjecture.

AB - We show that the torsion part of ℂ[n] with respect to the action of a derivation is algebraically closed in ℂ if the flow associated with the derivation is analytic on ℂ×ℂ[n], We also present a connection between this result and Keller’s Jacobian conjecture.

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UR - http://www.scopus.com/inward/citedby.url?scp=84966210822&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1995-1273485-7

DO - 10.1090/S0002-9939-1995-1273485-7

M3 - Article

VL - 123

SP - 2191

EP - 2197

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 7

ER -