A construction of Gorenstein rings

被引：128
|
作者：
D'Anna, Marco [1 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
来源：
JOURNAL OF ALGEBRA | 2006年 / 306卷 / 02期
关键词：
Gorenstein ring; canonical ideal; algebroid curve;
D O I：
10.1016/j.jalgebra.2005.12.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, starting with a commutative ring R and a proper ideal I subset of R, we construct and study a new ring denoted by R boxed times I. In particular, we prove that if R is a CM local ring, then R boxed times I is Gorenstein if and only if I is a canonical ideal of R and we apply this construction to algebroid curves. (c) 2006 Elsevier Inc. All rights reserved.
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页码：507 / 519
页数：13
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