Perfect linkage of Cohen-Macaulay modules over Cohen-Macaulay rings

被引：6
|
作者：
Iima, Kei-ichiro [1 ]
Takahashi, Ryo [2 ]
机构：
[1] Nara Coll, Natl Inst Technol, Dept Liberal Studies, 22 Yata Cho, Yamatokoriyarna, Nara 6391080, Japan
[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan
来源：
JOURNAL OF ALGEBRA | 2016年 / 458卷
关键词：
CI-linkage; Perfect linkage; Yoshino-Isogawa linkage; Cohen-Macaulay module; Perfect module; Maximal Cohen-Macaulay approximation; MONOMIAL IDEALS; LIAISON CLASSES; GORENSTEIN; CODIMENSION;
D O I：
10.1016/j.jalgebra.2016.03.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study the notion of linkage by perfect modules, which we call perfect linkage, for Cohen-Macaulay modules over Cohen-Macaulay local rings. We explore perfect linkage in connection with syzygies, maximal Cohen-Macaulay approximations and Yoshino-Isogawa linkage. We recover a theorem of Yoshino and Isogawa, and analyze the structure of double perfect linkage. Moreover, we establish a criterion for two Cohen-Macaulay modules of codimension one to be perfectly linked, and apply it to the classical linkage theory for ideals. We also construct various examples of linkage of modules and ideals. (C) 2016 Published by Elsevier Inc.
引用
收藏
页码：134 / 155
页数：22
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