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Milnor squares, exact contexts, and recollements of derived categories
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In the talk we will survey constructions of recollements of derived module categories. This is done by introducing exact contexts and their noncommutative tensor products. Special cases of exact contents are Milnor squares and extensions of algebras. Employing exact contexts, we construct universal localizations and characterize the homological ones in terms of the data of exact contexts. In such a way, we establish new methods to obtain recollements of derived categories of rings.

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