Title | **d-Koszul algebras, 2-d-determined algebras and 2-d-Koszul algebras** |

Author(s) | Edward L. Green, E.N. Marcos |

Type | Article in Journal |

Abstract | The relationship between an algebra and its associated monomial algebra is investigated when at least one of the algebras is d -Koszul. It is shown that an algebra which has a reduced Gröbnerbasis that is composed of homogeneous elements of degree d is d -Koszul if and only if its associated monomial algebra is d -Koszul. The class of 2- d -determined algebras and the class 2- d -Koszul algebras are introduced. In particular, it is shown that 2- d -determined monomial algebras are 2- d -Koszul algebras and the structure of the ideal of relations of such an algebra is completely determined. |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404910001027 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 215 |

Number | 4 |

Pages | 439 - 449 |

Year | 2011 |

Edition | 0 |

Translation |
No |

Refereed |
No |