Recollements of derived categories I: Construction from exact contexts

作者：Chen, Hongxing; Xi, Changchang^*

来源：Journal of Pure and Applied Algebra, 2021, 225(8): 106648.

DOI：10.1016/j.jpaa.2020.106648

• Derived category
• Exact context
• Localization
• Noncommutative tensor product
• Recollement

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.