28 citations · 194 across the 25 of their papers we have counts for
6 papers · 1 filter
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-…
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…
Categorical properties of reduction functors over non-positive DG-rings
Liran Shaul
Given a non-positive DG-ring , associated to it are the reduction and coreduction functors and $G(-) = \mathrm{R}\operatorname{H…
The finitistic dimension conjecture via DG-rings
Liran Shaul
Given an associative ring , we present a new approach for establishing the finiteness of the big finitistic projective dimension . The idea is to find a s…
Injective DG-modules over non-positive DG-rings
Liran Shaul
Let be an associative non-positive differential graded ring. In this paper we make a detailed study of a category of left DG-modules over w…
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…