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math.RA2001
Dualizing Complexes and Tilting Complexes over Simple Rings
Amnon Yekutieli, James J. Zhang
We prove that two-sided tilting complexes, and dualizing complexes, over simple Goldie rings (with some technical conditions) are always shifts of invertible bimodules. This allows…
math.RA2001
Residue Complexes over Noncommutative Rings
Amnon Yekutieli, James J. Zhang
Residue complexes were introduced by Grothendieck in algebraic geometry. These are canonical complexes of injective modules that enjoy remarkable functorial properties (traces). In…