Eakin-Sathaye-Type Theorems for Joint Reductions and Good Filtrations of Ideals

被引：0

作者：

Goel, Kriti ^{[1
]}

Roy, Sudeshna ^{[1
]}

Verma, J. K. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India

来源：

ACTA MATHEMATICA VIETNAMICA | 2019年 / 44卷 / 03期

关键词：

Eakin-Sathaye theorem; Good filtrations; Equimultiple good filtrations; Joint reduction; NUMBER; RINGS;

D O I：

10.1007/s40306-019-00341-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Analogues of Eakin-Sathaye theorem for reductions of ideals are proved for N-s-graded good filtrations. These analogues yield bounds on joint reduction vectors for a family of ideals and reduction numbers for N-graded filtrations. Several examples related to lex-segment ideals, contracted ideals in 2-dimensional regular local rings and the filtration of integral and tight closures of powers of ideals in hypersurface rings are constructed to show effectiveness of these bounds.

引用

页码：671 / 689

页数：19