### Abstract

Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.

Original language | English (US) |
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Pages (from-to) | 482-487 |

Number of pages | 6 |

Journal | Journal of Pure and Applied Algebra |

Volume | 219 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1 2015 |

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### ASJC Scopus subject areas

- Algebra and Number Theory