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.
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页码：1783 / 1795
页数：13
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