Title | **Essential and inessential elements of a standard basis** |

Author(s) | Giannina Beccari, Carla Massaza |

Type | Article in Journal |

Abstract | In this paper we introduce the concept of inessential element of a standard basis B ( I ) , where I is any homogeneous ideal of a polynomial ring. An inessential element is, roughly speaking, a form of B ( I ) whose omission produces an ideal having the same saturation as I ; it becomes useless in any dehomogenization of I with respect to a linear form. We study the properties of B ( I ) linked to the presence of inessential elements and give some examples. |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404910002264 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 215 |

Number | 7 |

Pages | 1726 - 1736 |

Year | 2011 |

Edition | 0 |

Translation |
No |

Refereed |
No |