Dependence of Hilbert coefficients

被引：4

作者：

Le Xuan Dung ^{[1
]}

Le Tuan Hoa ^{[2
]}

机构：

[1] Hong Duc Univ, Dept Nat Sci, Thanh Hoa, Vietnam

[2] Inst Math Hanoi VAST, Hanoi 10307, Vietnam

来源：

MANUSCRIPTA MATHEMATICA | 2016年 / 149卷 / 1-2期

关键词：

CASTELNUOVO-MUMFORD REGULARITY; COHEN-MACAULAY MODULES; GRADED MODULES; LOCAL-RINGS; FINITENESS;

D O I：

10.1007/s00229-015-0762-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a finitely generated module of dimension d and depth t over a Noetherian local ring (A, ) and I an -primary ideal. In the main result it is shown that the last t Hilbert coefficients are bounded below and above in terms of the first d - t + 1 Hilbert coefficients and d.

引用

页码：235 / 249

页数：15

共 22 条

[1]

Blancafort C, 1998, J PURE APPL ALGEBRA, V125, P55

[2]

Bourbaki N., 1961, Algebebre Commutative

[3]

BRODMANN M. P., 1998, Cambridge Studies in Advanced Mathematics, V60

[4] CASTELNUOVO-MUMFORD REGULARITY OF EXT MODULES AND HOMOLOGICAL DEGREE [J].