Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

被引：30

作者：

Ghezzi, L. ^{[1
]}

Goto, S. ^{[2
]}

Hong, J. ^{[3
]}

Ozeki, K. ^{[2
]}

Phuong, T. T. ^{[4
]}

Vasconcelos, W. V. ^{[5
]}

机构：

[1] CUNY City Coll, Dept Math, Brooklyn, NY 11201 USA

[2] Meiji Univ, Dept Math, Sch Sci & Technol, Tama Ku, Kawasaki, Kanagawa 2148571, Japan

[3] So Connecticut State Univ, Dept Math, New Haven, CT 06515 USA

[4] Ton Duc Thang Univ, Dept Informat Technol & Appl Math, Ho Chi Minh City, Vietnam

[5] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2010年 / 81卷

基金：

美国国家科学基金会;

关键词：

LOCAL-RINGS; MODULES;

D O I：

10.1112/jlms/jdq008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The conjecture of Wolmer Vasconcelos on the vanishing of the first Hilbert coefficient e(1)(Q) is solved affirmatively, where Q is a parameter ideal in a Noetherian local ring. Basic properties of the rings for which e(1)(Q) vanishes are derived. The invariance of e(1)(Q) for parameter ideals Q and its relationship to Buchsbaum rings are studied.

引用

页码：679 / 695

页数：17

共 18 条

[1] ON THE ENDOMORPHISM RING OF THE CANONICAL MODULE [J].