几乎完美复合体的光谱切除和下降

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-06-18 DOI:10.1016/j.jpaa.2025.108033

Chang-Yeon Chough

引用次数: 0

摘要

我们证明了交换环谱的几乎完美配合物满足消去和h下降。这些结果分别由Halpern-Leistner和Preygel推广了普通交换环的完美配合的Milnor切除和局部noether派生堆栈的几乎完美配合的h-下降。

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Spectral excision and descent for almost perfect complexes

We show that almost perfect complexes of commutative ring spectra satisfy excision and h-descent. These results generalize Milnor excision for perfect complexes of ordinary commutative rings and h-descent for almost perfect complexes of locally noetherian derived stacks by Halpern-Leistner and Preygel, respectively.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.