26 citations · 35 across the 10 of their papers we have counts for
12 papers
Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra
Rosanna Laking, Alexandra Zvonareva
In this paper we consider a family of nested t-structures given by silting objects and construct a silting object corresponding to the intersection of aisles of these t-structures…
Mutation of torsion pairs for finite-dimensional algebras
Lidia Angeleri Hügel, Rosanna Laking, Francesco Sentieri
We study the lattice of torsion pairs in the category of finitely generated modules over an artinian ring . It was shown by the authors in p…
Torsion pairs via the Ziegler spectrum
Lidia Angeleri Hügel, Rosanna Laking, Francesco Sentieri
We establish a bijection between torsion pairs in the category of finite-dimensional modules over a finite-dimensional algebra A and pairs (Z, I) formed by a closed rigid set Z in…
Simples in a cotilting heart
Lidia Angeleri Hügel, Ivo Herzog, Rosanna Laking
Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the derived category D(Mod R). We determine the simple objects in this heart and their injec…
Mutation and torsion pairs
Lidia Angeleri Hügel, Rosanna Laking, Jan Šťovíček +1
Mutation of compact silting objects is a fundamental operation in the representation theory of finite-dimensional algebras due to its connections to cluster theory and to the latti…
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…
Purity in compactly generated derivators and t-structures with Grothendieck hearts
Rosanna Laking
We study t-structures with Grothendieck hearts on compactly generated triangulated categories that are underlying categories of strong and stable derivators. This set…
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…
Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra
Kristin Krogh Arnesen, Rosanna Laking, David Pauksztello
In this article we provide a simple combinatorial description of morphisms between indecomposable complexes in the bounded derived category of a gentle algebra.