Title | **Noether normalization guided by monomial cone decompositions** |

Author(s) | Daniel Robertz |

Type | Article in Journal |

Abstract | This paper explains the relevance of partitioning the set of standard monomials into cones for constructing a Noether normalization for an ideal in a polynomial ring. Such a decomposition of the complement of the corresponding initial ideal in the set of all monomials–also known as a Stanley decomposition–is constructed in the context of Janet bases, in order to come up with sparse coordinate changes which achieve Noether normal position for the given ideal. |

Keywords | Noether normalization, Involutive bases, Janet bases, Stanley decompositions, Sparse coordinate change |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717109000558 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 44 |

Number | 10 |

Pages | 1359 - 1373 |

Year | 2009 |

Edition | 0 |

Translation |
No |

Refereed |
No |