Title | **Characteristic modules of dual extensions and Gr\"obner bases.** |

Author(s) | Laurent Granvilliers, Yunge Xu |

Type | Article in Journal |

Abstract | Let C be a finite dimensional directed algebra over an algebraically closed field k and A = A(C) the dual extension of C. The characteristic modules of A are constructed explicitly for a class of directed algebras, which generalizes the results of Xi. Furthermore, it is shown that the characteristic modules of dual extensions of a certain class of directed algebras admit the left Gröbner basis theory in the sense of E. L. Green. |

Keywords | Quasi–hereditary algebra, Dual extension, Characteristic module |

ISSN | 1439-8516; 1439-7617/e |

URL |
http://link.springer.com/article/10.1007%2Fs10114-004-0421-4 |

Language | English |

Journal | Acta Math. Sin., Engl. Ser. |

Volume | 20 |

Number | 6 |

Pages | 1119--1130 |

Publisher | Springer, Berlin/Heidelberg; Chinese Mathematical Society c/o Chinese Academy of Sciences, Academy o |

Year | 2004 |

Edition | 0 |

Translation |
No |

Refereed |
No |