Reductions of Ideals in Pullbacks

被引：3
|
作者：
Kabbaj, S. [1 ]
Mimouni, A. [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
ALGEBRA COLLOQUIUM | 2020年 / 27卷 / 03期
关键词：
pullback; reduction; minimal reduction; basic ideal; Prufer domain; T-INTEGRAL CLOSURE; RINGS;
D O I：
10.1142/S1005386720000437
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with reductions of ideals in various settings of pullback constructions. Precisely, we investigate reductions of several types of ideals in both generic and classical pullbacks. We also characterize pullbacks where reductions of a class of ideals extend to reductions of their respective extended ideals. All results are illustrated with original examples.
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页码：523 / 530
页数：8
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