On localizing subcategories of derived categories

2007/12/12 by Ryo Takahashi, Takahashi, Ryo
Mathematics · #13C05 #16D90 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13C05 #msc:16D90 #msc:18E30

paper · pdf · doi:10.48550/arxiv.0712.1874

12 pages, some corrections, to appear in J. Math. Kyoto Univ

openalex publication_date 2007/12/12 · arxiv created 2009/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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