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.

引用

页码：507 / 519

页数：13

共 14 条

[1] Analytically unramified one-dimensional semilocal rings and their value semigroups [J].