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math.RA2021
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…
math.RA2019
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…
math.RA2018
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…