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Cotilting sheaves over weighted noncommutative regular projective curves
Dirk Kussin, Rosanna Laking
We consider the category of quasicoherent sheaves where is a weighted noncommutative regular projective curve over a field . This ca…
Classification of cosilting modules in type
Karin Baur, Rosanna Laking
Torsion pairs in the category of finitely presented modules over a noetherian ring can be parametrised by the class of cosilting modules. In this paper, we characterise such module…
Definability and approximations in triangulated categories
Rosanna Laking, Jorge Vitória
We give criteria for subcategories of a compactly generated algebraic triangulated category to be precovering or preenveloping. These criteria are formulated in terms of closure co…
The Ziegler spectrum for derived-discrete algebras
Kristin Krogh Arnesen, Rosanna Laking, David Pauksztello +1
Let be a derived-discrete algebra. We show that the Krull-Gabriel dimension of the homotopy category of projective -modules, and therefore the Cantor-Bendixson rank of its Z…
Krull-Gabriel dimension of domestic string algebras
Rosanna Laking, Mike Prest, Gena Puninski
We calculate, confirming a conjecture of Schröer, the Krull-Gabriel dimension of the category of modules over any domestic string algebra, as well as the Cantor-Bendixson rank of e…