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.
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收藏
页码：1061 / 1070
页数：10
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