On localizing subcategories of derived categories

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2007-12-12 DOI:10.1215/KJM/1265899482

Ryo Takahashi

引用次数: 12

Abstract

Let A be a commutative noetherian ring. In this paper, we interpret localizing subcategories of the derived category of A by using subsets of Spec A and subcategories of the category of A-modules. We unify theorems of Gabriel, Neeman and Krause.

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衍生类别的子类别的局部化

设A是一个交换诺瑟环。本文利用Spec A的子集和A-模范畴的子范畴解释了A的派生范畴的局部化子范畴。我们统一了Gabriel, Neeman和Krause的定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.