Syzygies of Cohen-Macaulay Modules over One Dimensional Cohen-Macaulay Local Rings

被引：3

作者：

Kobayashi, Toshinori ^{[1
]}

机构：

[1] Meiji Univ, Sch Sci & Technol, Tama Ku, 1-1-1 Higashimita, Kawasaki, Kanagawa 2148571, Japan

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2022年 / 25卷 / 05期

关键词：

Cohen-Macaulay ring/module; Syzygy; Almost Gorenstein ring;

D O I：

10.1007/s10468-021-10059-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study syzygies of (maximal) Cohen-Macaulay modules over one dimensional Cohen-Macaulay local rings. We assume that rings are generically Gorenstein. We compare these modules to Cohen-Macaulay modules over the endomorphism ring of the maximal ideal. After this comparison, we give several characterizations of almost Gorenstein rings in terms of syzygies of Cohen-Macaulay modules.

引用

页码：1061 / 1070

页数：10

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