ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES

被引：0

作者：

Truong Thi Hong Thanh ^{[1
]}

Duong Quoc Viet ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy St, Hanoi, Vietnam

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 05期

关键词：

Mixed multiplicity; Hilbert-Samuel multiplicity; Noetherian ring; EXTENDED REES-ALGEBRAS; COHEN-MACAULAYNESS; JOINT REDUCTIONS;

D O I：

10.4134/BKMS.b190914

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper establishes a formula changing the ring from a Noetherian local ring A of dimension d > 0 containing the residue field k to the polynomial ring in d variables k[X-1, X-2, ... X-d] for mixed multiplicities. And as consequences, we get a formula for the multiplicity of Rees rings and formulas for mixed multiplicities and the multiplicity of Rees rings of quotient rings of A by highest dimensional associated prime ideals of A.

引用

页码：1251 / 1258

页数：8

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