A partial converse ghost lemma for the derived category of a commutative Noetherian ring

Jian Liu; Josh Pollitz

首页> 外文期刊>Proceedings of the American Mathematical Society >A partial converse ghost lemma for the derived category of a commutative Noetherian ring

【24h】

A partial converse ghost lemma for the derived category of a commutative Noetherian ring

机译：A partial converse ghost lemma for the derived category of a commutative Noetherian ring

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

In this article a condition is given to detect the containment among thick subcategories of the bounded derived category of a commutative noetherian ring. More precisely, for a commutative noetherian ring $R$ and complexes of $R$-modules with finitely generated homology $M$ and $N$, we show $N$ is in the thick subcategory generated by $M$ if and only if the ghost index of $N_mathfrak {p}$ with respect to $M_mathfrak {p}$ is finite for each prime $mathfrak {p}$ of $R$. To do so, we establish a “converse coghost lemma” for the bounded derived category of a non-negatively graded DG algebra with noetherian homology.

著录项

来源
《Proceedings of the American Mathematical Society》 |2023年第4期|1459-1469|共11页
作者
Jian Liu; Josh Pollitz;
展开▼
作者单位

Department of Mathematics, University of Utah;

School of Mathematical Sciences, Shanghai Jiao Tong University;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类数学;
关键词
Derived category; (co)ghost index; (co)ghost lemma; level; DG algebra; Koszul complex;

A partial converse ghost lemma for the derived category of a commutative Noetherian ring

摘要

著录项

相关主题

期刊订阅