On André-Quillen homology and complete intersection ideals

被引：0

作者：

Miranda-Neto, Cleto B. ^{[1
]}

机构：

[1] Univ Fed Paraiba, BR-58051900 Joao Pessoa, PB, Brazil

来源：

JOURNAL OF ALGEBRA | 2024年 / 649卷

关键词：

Andr & eacute; -Quillen (co)homology; Vanishing of (co)homology; Quasi-complete intersection ideal; Complete intersection ideal; KOSZUL HOMOLOGY;

D O I：

10.1016/j.jalgebra.2024.02.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish new characterizations of complete intersection ideals in Cohen-Macaulay local rings as a byproduct of our investigation on a certain Andr & eacute;-Quillen homology vector space in connection to the vanishing of (finitely many) Ext modules over a suitable quasi-deformation. Along the way, by means of (co)homology vanishing, we also detect criteria for quasi-complete intersection ideals. (c) 2024 Elsevier Inc. All rights reserved.

引用

页码：212 / 222

页数：11

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