The Core of 0-Dimensional Monomial Ideals
交换代数
2007-05-23 v2 代数几何
摘要
The core of an ideal is the intersection of all its reductions. We describe the core of a zero-dimensional monomial ideal I as the largest monomial ideal contained in a general reduction of I. This provides a new interpretation of the core in the monomial case as well as an efficient algorithm for computing it. We relate the core to adjoints and first coefficient ideals, and in dimension two and three we give explicit formulas.
引用
@article{arxiv.math/0609152,
title = {The Core of 0-Dimensional Monomial Ideals},
author = {Claudia Polini and Bernd Ulrich and Marie A. Vitulli},
journal= {arXiv preprint arXiv:math/0609152},
year = {2007}
}
备注
22 pages; corrections made in revised file