Recollements of derived categories I: Construction from exact contexts

A new method is established to construct recollements of derived categories of rings from exact contexts and noncommutative tensor products. This method is applicable to a large variety of situations, including Milnor squares, localizations, ring extensions and ring epimorphisms.

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Bibliographic Details
Published inJournal of pure and applied algebra Vol. 225; no. 8; p. 106648
Main Authors Chen, Hongxing, Xi, Changchang
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.08.2021
Subjects
Derived category
Exact context
Localization
Noncommutative tensor product
Recollement
secondary
Noncommutative tensor product
Primary
Recollement
Localization
Exact context
Derived category
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Summary:A new method is established to construct recollements of derived categories of rings from exact contexts and noncommutative tensor products. This method is applicable to a large variety of situations, including Milnor squares, localizations, ring extensions and ring epimorphisms.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2020.106648