Local rings of minimal length

被引：6
|
作者：
Barucci, Valentina [1 ]
机构：
[1] Univ Rome, Dipartimento Matemat, I-00185 Rome, Italy
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2009年 / 213卷 / 06期
关键词：
M-CANONICAL IDEALS; INTEGRAL-DOMAINS;
D O I：
10.1016/j.jpaa.2008.11.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with local rings R possessing an m-canonical ideal omega, R subset of omega. In particular those rings such that the length I-R(omega/R) is as short as possible are studied. The same notion for one-dimensional local Cohen-Macaulay rings was introduced and studied with the name of Almost Gorenstein. Some necessary conditions, that become also sufficient under additional hypotheses, are given and examples are provided also in the non-Noetherian case. The case when the maximal ideal of R is stable is also studied. (C) 2008 Elsevier B.V. All rights reserved.
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页码：991 / 996
页数：6
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