Hilbert Coefficients and the Depth of Associated Graded Rings with Respect to Parameter Ideals

被引：3
|
作者：
Cao Huy Linh [1 ]
Van Duc Trung [1 ]
机构：
[1] Hue Univ, Dept Math, Coll Educ, 34 Le Loi, Hue, Vietnam
来源：
VIETNAM JOURNAL OF MATHEMATICS | 2019年 / 47卷 / 02期
关键词：
Hilbert coefficients; The depth of associated graded rings; Parameter ideals; Castelnuovo-Mumford regularity; Postulation number; NUMBERS; REGULARITY;
D O I：
10.1007/s10013-018-0327-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the non-positivity for the Hilbert coefficients of parameter ideals. Moreover, we establish a relationship between the vanishing of Hilbert coefficients and the depth of associated graded rings with respect to parameter ideals in the case of small regularity.
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页码：431 / 442
页数：12
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