Quasi-socle ideals in a Gorenstein local ring

被引：10
|
作者：
Goto, Shiro [1 ]
Takahashi, Ryo [2 ]
Matsuoka, Naoyuki [1 ]
机构：
[1] Meiji Univ, Sch Sci & Technol, Dept Math, Tama Ku, Kawasaki, Kanagawa 2148571, Japan
[2] Shinshu Univ, Fac Sci, Dept Math Sci, Matsumoto, Nagano 3908621, Japan
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2008年 / 212卷 / 05期
关键词：
D O I：
10.1016/j.jpaa.2007.07.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper explores the structure of quasi-socle ideals I = Q : m(2) in a Gorenstein local ring A, where Q is a parameter ideal and m is the maximal ideal in A. The purpose is to answer the problems as to when Q is a reduction of I and when the associated graded ring G(I) = circle plus(n >= 0) I-n/In+1 is Cohen - Macaulay. Wild examples are explored. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：969 / 980
页数：12
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