A note on maximal non-Noetherian subrings of a domain

被引：0
|
作者：
Noômen Jarboui
Ayada Jerbi
机构：
[1] Faculty of Sciences of Sfax,Department of Mathematics
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2012年 / 53卷 / 1期
关键词：
Jaffard domain; Krull dimension; Valuation domain; Noetherian domain; Finite-type module; Pullbacks; Stably strong S-domain; Universally catenarian domain; Primary 13B02; Secondary 13A15; 13A18; 13B21; 13B22; 13B25; 13B30; 13C15; 13E05;
D O I：
10.1007/s13366-011-0055-5
中图分类号：
学科分类号：
摘要：
This paper is concerned with the prime spectrum of maximal non-Noetherian subrings of a given domain. It is proved that if R is a maximal non-Noetherian subring of S, then R is a stably strong S-domain and that R is universally catenarian iff S is universally catenarian. Our main results lead to new examples of stably strong S-domains and universally catenarian domains. The relationship with n-dimensional pairs and residually Mori pairs is established.
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页码：159 / 172
页数：13
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