10 citations · 35 across the 17 of their papers we have counts for
6 papers · 1 filter
Acyclic complexes and regular rings
Lars Winther Christensen, Sergio Estrada, Peder Thompson
A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show tha…
One-sided Gorenstein rings
Lars Winther Christensen, Sergio Estrada, Li Liang +2
Distinctive characteristics of Iwanaga--Gorenstein rings are typically understood through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein glo…
Five theorems on Gorenstein global dimensions
Lars Winther Christensen, Sergio Estrada, Peder Thompson
We expand on two existing characterizations of rings of Gorenstein (weak) global dimension zero and give two new characterizations of rings of finite Gorenstein (weak) global dimen…
Gorenstein weak global dimension is symmetric
Lars Winther Christensen, Sergio Estrada, Peder Thompson
We study the Gorenstein weak global dimension of associative rings and its relation to the Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein w…
A refinement of Gorenstein flat dimension via the flat--cotorsion theory
Lars Winther Christensen, Sergio Estrada, Li Liang +3
We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring--the Gorenstein flat-cotorsion dimension--and prove that it, unlike the Gorenstein…
Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory
Lars Winther Christensen, Sergio Estrada, Peder Thompson
We introduce a notion of total acyclicity associated to a subcategory of an abelian category and consider the Gorenstein objects they define. These Gorenstein objects form a Froben…