Lexsegment Ideals Are Sequentially Cohen-Macaulay

• 作者: Muhammad Ishaq
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 科恩 理想 麦 ICS 素数
• 年，卷（期）: 2014,（4）
• 页码范围: 551-560
• 页数: 10页
• 分类号: O241.1
• 语种: 中文

摘要

The associated primes of an arbitrary lexsegment ideal I C S = K[x1,..., xn] are determined. As application it is shown that S/I is a pretty clean module, therefore S/I is sequentially Cohen-Mazaulay and satisfies Stanley's conjecture.