Vénéreau, Stéphane.
(2006)
* New bad lines in R[x, y] and optimization of the Epimorphism Theorem.*
Journal of Algebra, Vol. 302, H. 2.
pp. 729-749.

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Official URL: http://edoc.unibas.ch/dok/A5249004

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## Abstract

We give necessary and sufficient conditions on a commutative ring with unity R so that the following holds: any polynomial f in R[x, y] such that R[x, y]/(f) similar or equal to R-[1] (a line for short) is a variable (= alpha(x) for some automorphism alpha:R[x, y] -< R[x, y]). The main ingredient here is the construction of new bad lines (lines which are not variables).

Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft) |
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UniBasel Contributors: | Vénéreau, Stéphane |

Item Type: | Article, refereed |

Article Subtype: | Research Article |

Publisher: | Academic Press |

ISSN: | 0021-8693 |

Note: | Publication type according to Uni Basel Research Database: Journal article |

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Identification Number: | |

Last Modified: | 22 Mar 2012 14:27 |

Deposited On: | 22 Mar 2012 13:57 |

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