Title | **Reduced Groebner bases in polynomial rings over a polynomial ring** |

Author(s) | Katsusuke Nabeshima |

Type | Article in Conference Proceedings |

Abstract | We define reduced Gr\"obner bases in polynomial rings over a polynomial ring and introduce an algorithm for computing them. There exist some algorithms for computing Gr\"obner bases in polynomial rings over a polynomial ring. However, we cannot obtain the reduced Gr\"obner bases by these algorithms. In this paper we give problems for computing the reduced Gr\"obner bases and show how to solve these problems. |

Length | 18 |

Language | English |

Pages | 15-32 |

Year | 2006 |

Editor | Wang and D. and Zheng and Z. |

Translation |
No |

Refereed |
Yes |

Conferencename | Internatial Conference on Mathematical Aspects of Computer and Information Sciences |