Integral closure of a Marot ring whose regular ideals are finitely generated

被引：6

作者：

Chang, GW ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

来源：

COMMUNICATIONS IN ALGEBRA | 1999年 / 27卷 / 04期

关键词：

D O I：

10.1080/00927879908826528

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative ring with identity and let R' be the integral closure of R in its total quotient ring. In this paper, we will show that if R is a Marot ring of reg-dimR less than or equal to 2 and each regular ideal of R is finitely generated, then every regular ideal of R' is also finitely generated.

引用

页码：1783 / 1795

页数：13

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