39 citations · 244 across the 55 of their papers we have counts for
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math.AG2001★ 2 cited
The Continuous Hochschild Cochain Complex of a Scheme
Amnon Yekutieli
Let X be a separated finite type scheme over a noetherian base ring K. There is a complex C(X) of topological O_X-modules on X, called the complete Hochschild chain complex of X. T…
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…