Normally Torsion-free Lexsegment Ideals

• 作者: Anda Olteanu
• 来源期刊: 代数集刊:英文版
• 学科: 教育
• 关键词: 常数 数学理论 代数 深度函数
• 年，卷（期）: 2015,（1）
• 页码范围: 23-34
• 页数: 12页
• 分类号: G633.62
• 语种: 中文

摘要

In this paper we characterize all the lexsegment ideals which are normally torsion-free. This will provide a large class of normally torsion-free monomial ideals which are not square-free. Our characterization is given in terms of the ends of the lexsegment. We also prove that, for lexsegment ideals, the property being normally torsion-free is equivalent to the property of the depth function being constant.