29 citations · 57 across the 12 of their papers we have counts for
15 papers
Torsion pairs via cosilting mutation
Lidia Angeleri Hügel
For a left artinian ring A, we study the lattice torsA of torsion pairs in the category of finitely generated A-modules by considering an isomorphic lattice formed by certain close…
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…
Endomorphism algebras of silting complexes
Lidia Angeleri Hügel, Marcelo Lanzilotta, Jifen Liu +1
We consider endomorphism algebras of -term silting complexes in derived categories of hereditary algebras, and we show that the module category of such an endomorphism algebra h…
Silting objects
Lidia Angeleri Hügel
We give an overview of recent developments in silting theory. After an introduction on torsion pairs in triangulated categories, we discuss and compare different notions of silting…
Flat ring epimorphisms and universal localisations of commutative rings
Lidia Angeleri Hügel, Frederik Marks, Jan Stovicek +2
We study different types of localisations of a commutative noetherian ring. More precisely, we provide criteria to decide: (a) if a given flat ring epimorphism is a universal local…
On the abundance of silting modules
Lidia Angeleri Hügel
Silting modules are abundant. Indeed, they parametrise the definable torsion classes over a noetherian ring, and the hereditary torsion pairs of finite type over a commutative ring…