Multiplicity and tight closures of parameters

被引：26

作者：

Goto, S

Nakamura, Y

机构：

[1] Department of Mathematics, School of Science and Technology, Meiji University

来源：

JOURNAL OF ALGEBRA | 2001年 / 244卷 / 01期

关键词：

Cohen-Macaulay ring; F-rational ring; multiplicity; tight closure;

D O I：

10.1006/jabr.2001.8907

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the relation between the multiplicity and the tight closure of a parameter ideals. We shall show that local rings having a parameter ideal whose multiplicity agrees with the colength of its tight closure are Cohen-Macaulay rings. (C) 2001 Academic Press.

引用

页码：302 / 311

页数：10

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