On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules

被引：0

作者：

Cuong, Nguyen Tu ^{[1
]}

Long, Nguyen Tuan ^{[2
]}

Truong, Hoang Le ^{[3
,4
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi 10307, Vietnam

[2] Natl Econom Univ, 207 Giai Phong Rd, Hanoi, Vietnam

[3] VAST, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi 10307, Vietnam

[4] Thang Long Inst Math & Appl Sci, Hanoi, Vietnam

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 03期

关键词：

Hilbert coefficients; multiplicity sequentially Cohen-Macaulay; sequentially generalized Cohen-Macaulay; arithmetic degree; dimension filtration; distinguished parameter ideals; UNIFORM BOUNDS; CHERN COEFFICIENTS; PARAMETER IDEALS; SEQUENCES; POWERS;

D O I：

10.1142/S0219498824500555

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper shows that if R is a homomorphic image of a Cohen-Macaulay local ring, then R-module M is sequentially generalized Cohen-Macaulay if and only if the difference between Hilbert coefficients and arithmetic degrees for all distinguished parameter ideals of M are bounded.

引用

页数：18

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