Browsing NTNU Open by Author "Estrada, Sergio"
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Gorenstein weak global dimension is symmetric
Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Peer reviewed; Journal article, 2021)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 weak global dimension is a left-right ... -
Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory
Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Peer reviewed; Journal article, 2019)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 Frobenius category, whose induced stable category ... -
A refinement of Gorenstein flat dimension via the flat--cotorsion theory
Christensen, Lars Winther; Estrada, Sergio; Liang, Li; Thompson, Peder; Wu, Dejun; Yang, Gang (Peer reviewed; Journal article, 2021)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 flat dimension, behaves as one expects of ... -
The stable category of Gorenstein flat sheaves on a noetherian scheme
Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Journal article; Peer reviewed, 2021)