3 papers
math.RT2026
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…
math.RT2024
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…
math.RT2023
Wide coreflective subcategories and torsion pairs
Lidia Angeleri Hügel, Francesco Sentieri
We revisit a construction of wide subcategories going back to work of Ingalls and Thomas. To a torsion pair in the category of finitely prese…