Title | **Grobner Bases for Ideals of σ-PBW Extensions** |

Author(s) | Claudia Gallego, Oswaldo Lezama |

Type | Article in Journal |

Abstract | In this article, we introduce the σ-PWB extensions and construct the theory of Grobner bases for the left ideals of them. We prove the Hilbert's basis theorem and the division algorithm for this more general class of Poincare-Birkhoff-Witt extensions. For the particular case of bijective and quasi-commutative σ-PWB extensions, we implement the Buchberger's algorithm for computing Grobner bases of left ideals. |

Keywords | Buchberger's algorithm; Noetherian polynomial noncommutative rings; Noncommutative Grobner bases; PBW extensions |

URL |
DOI: 10.1080/00927870903431209 |

Language | English |

Journal | Communications in Algebra |

Volume | 39 |

Number | 1 |

Pages | 50-75 |

Publisher | Taylor and Francis Ltd |

Year | 2011 |

Month | January |

Translation |
No |

Refereed |
No |