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- W1733156921 abstract "We introduce and study a class of objects that encompasses Christensen and Foxby's semidualizing modules and complexes and Kubik's quasi-dualizing modules: the class of $mathfrak{a}$-adic semidualizing modules and complexes. In particular, we show that the derived local cohomology complex $mathbf{R}Gamma_{mathfrak a}(R)$ is always $mathfrak{a}$-adic semidualizing. We also investigate the Auslander and Bass classes associated to an $mathfrak{a}$-adic semidualizing complex, for instance, proving a version of Foxby equivalence in this setting. We furthermore study base-change behavior for these classes." @default.
- W1733156921 created "2016-06-24" @default.
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- W1733156921 date "2015-06-23" @default.
- W1733156921 modified "2023-09-27" @default.
- W1733156921 title "Adic semidualizing complexes and Foxby equivalence" @default.
- W1733156921 hasPublicationYear "2015" @default.
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