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- W4300912237 abstract "Let A be a commutative ring, and let a be a weakly proregular ideal in A. (If A is noetherian then any ideal in it is weakly proregular.) Suppose M is a compact generator of the category of cohomologically a-torsion complexes. We prove that the derived double centralizer of M is isomorphic to the a-adic completion of A. The proof relies on the MGM equivalence from [PSY] and on derived Morita equivalence. Our result extends earlier work of Dwyer-Greenlees-Iyengar [DGI] and Efimov [Ef]." @default.
- W4300912237 created "2022-10-04" @default.
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- W4300912237 date "2012-07-03" @default.
- W4300912237 modified "2023-10-18" @default.
- W4300912237 title "Completion by Derived Double Centralizer" @default.
- W4300912237 doi "https://doi.org/10.48550/arxiv.1207.0612" @default.
- W4300912237 hasPublicationYear "2012" @default.
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