Borel-fixed ideals and reduction number

被引：12

作者：

Hoa, LT ^{[1
]}

Trung, NV ^{[1
]}

机构：

[1] Math Inst, Hanoi 10000, Vietnam

来源：

JOURNAL OF ALGEBRA | 2003年 / 270卷 / 01期

关键词：

reduction number; borel-fixed ideal; Hilbert function;

D O I：

10.1016/S0021-8693(03)00367-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study the relationship between the reduction number and Borel-fixed ideals in all characteristics. Especially it is shown that r(R/I) less than or equal to r(R/I-lex), where I-lex denotes the unique lex-segment ideal whose Hilbert function is equal to that of I. This solves a recent question by Conca. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：335 / 346

页数：12

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