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.
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页码：1251 / 1258
页数：8
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