5 papers · 1 filter
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…
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…
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…
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…