22 citations · 35 across the 11 of their papers we have counts for
10 papers · 1 filter
Homological Transcendence Degree
Amnon Yekutieli, James J. Zhang
Let D be a division algebra over a base field k. The homological transcendence degree of D, denoted by Htr D, is defined to be the injective dimension of the enveloping algebra of…
Multiplicities of Indecomposable Injectives
Amnon Yekutieli, James J. Zhang
Let A be a noncommutative noetherian with dualizing complex R. We study the multiplicities of indecomposable injectives in a minimal injective resolution of R. In particular when A…
Dualizing Complexes and Perverse Modules over Differential Algebras
Amnon Yekutieli, James J. Zhang
A differential algebra of finite type over a field k is a filtered algebra A, such that the associated graded algebra is finite over its center, and the center is a finitely genera…
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…
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…
The Derived Picard Group is a Locally Algebraic Group
Amnon Yekutieli
Let A be a finite dimensional algebra over an algebraically closed field K. The derived Picard group DPic(A) is the group of two-sided tilting complexes over A modulo isomorphism.…