Vanishing Properties of Dual Bass Numbers

• 作者: Lingguang Li
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 低音 属性 定位模块 诺特环 R-模 最大值 PRP 尺寸
• 年，卷（期）: 2014,（1）
• 页码范围: 167-180
• 页数: 14页
• 分类号: O153.3
• 语种: 中文

摘要

Let R be a Noetherian ring, M an Artinian R-module, and p ∈ CosRM. Thencograden. Homn(Rp, M) =-inf{i |πi(p, M) 〉 0} and πi(p, M) 〉 0 =〉 cogradeRpHomR(Rp, M) ≤ i ≤ fdRpHomR(Rp, M),where πi (p,M) is the i-th dual Bass number of M with respect to p, cogradeRpHomR (Rp ,M) is the common length of any maxima[ HomR(Rp, M)-quasi co-regular sequence contained in pRp, and fdRp HomR(Rp, M) is the flat dimension of the Rp-module HomR(Rp, M). We also study the relations among cograde, co-dimension and flat dimension of co-localization modules.