Classes of Sequentially Cohen-Macaulay Squarefree Monomial Ideals

• 作者: Oana Olteanu
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 单项式 理想 平方 科恩 麦 不变量 分解 同调
• 年，卷（期）: 2014,（4）
• 页码范围: 575-590
• 页数: 16页
• 分类号: O174.52
• 语种: 中文

摘要

We compute the minimal primary decomposition for completely squarefree lexsegment ideals. We show that critical squarefree monomial ideals are sequentially Cohen- Macaulay. As an application, we give a complete characterization of the completely square- free lexsegment ideals which are sequentially Cohen-Macaulay and we also derive formulas for some homological invariants of this class of ideals.