26 citations · 27 across the 3 of their papers we have counts for
3 papers
math.RA2023
Gorenstein acyclic complexes and finitistic dimensions
Liran Shaul
Given a two-sided noetherian ring with a dualizing complex, we show that the big finitistic dimension of is finite if and only if every bounded below Gorenstein-projective-…
math.RA2023★ 1 cited
Acyclic complexes of injectives and finitistic dimensions
Liran Shaul
For a ring , we consider the question whether every bounded above cochain complex of injective -modules which is acyclic is null-homotopic. We show that if is left and ri…
math.RA2014★ 26 cited
Reduction of Hochschild cohomology over algebras finite over their center
Liran Shaul
We borrow ideas from Grothendieck duality theory to noncommutative algebra, and use them to prove a reduction result for Hochschild cohomology for noncommutative algebras which are…