INTEGRAL DOMAINS WITH FINITELY MANY STAR OPERATIONS OF FINITE TYPE

被引：0
|
作者：
Chang, Gyu Whan [1 ]
机构：
[1] Univ Incheon, Dept Math, Incheon 406772, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2012年 / 20卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
star operation of finite type; Prufer domain; pseudovaluation domain;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let D be an integral domain and SF (D) be the set of star operations of finite type on D. We show that if |SF (D)| < infinity, then every maximal ideal of D is a t-ideal. We give an example of integrally closed quasi-local domains D in which the maximal ideal is divisorial (so a t-ideal) but | SF (D)| = infinity. We also study the integrally closed domains D with |SF (D)| <= 2.
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页码：185 / 191
页数：7
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