Local to global principles for generation time over commutative noetherian rings

IF 0.8 4区数学 Q2 MATHEMATICS

Homology Homotopy and Applications Pub Date : 2020-12-02 DOI:10.4310/HHA.2021.V23.N2.A10

Janina C. Letz

引用次数: 12

Abstract

In the derived category of modules over a commutative noetherian ring a complex $G$ is said to generate a complex $X$ if the latter can be obtained from the former by taking summands and finitely many cones. The number of cones required in this process is the generation time of $X$. In this paper we present some local to global type results for computing this invariant, and discuss applications.

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交换诺瑟环上生成时间的局部到全局原理

在可交换诺瑟环上模的派生范畴中，如果复$G$可以通过取和和和有限多个锥由复$X$得到，则称复$G$生成复$X$。这个过程中需要的锥体数量就是X的生成时间。本文给出了计算该不变量的局部到全局型结果，并讨论了其应用。

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

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.