Non-Noetherian Cohen-Macaulay rings

被引：18
|
作者：
Hamilton, Tracy Dawn
Marley, Thomas [1 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Calif State Univ Sacramento, Dept Math & Stat, Sacramento, CA 95819 USA
来源：
JOURNAL OF ALGEBRA | 2007年 / 307卷 / 01期
基金：
美国国家科学基金会;
关键词：
Cohen-Macaulay; non-Noetherian ring;
D O I：
10.1016/j.jalgebra.2006.08.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we investigate a property for commutative rings with identity which is possessed by every coherent regular ring and is equivalent to Cohen-Macaulay for Noetherian rings. We study the behavior of this property in the context of ring extensions (of various types) and rings of invariants. (C) 2006 Elsevier Inc. All rights reserved.
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页码：343 / 360
页数：18
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