48 citations · 99 across the 8 of their papers we have counts for
8 papers
Fishing for complements
Lidia Angeleri Hügel, David Pauksztello, Jorge Vitória
Given a presilting object in a triangulated category, we find necessary and sufficient conditions for the existence of a complement. This is done both for classic (pre)silting obje…
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…
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…
Torsion pairs in silting theory
Lidia Angeleri Hügel, Frederik Marks, Jorge Vitória
In the setting of compactly generated triangulated categories, we show that the heart of a (co)silting t-structure is a Grothendieck category if and only if the (co)silting object…
Silting modules
Lidia Angeleri Hügel, Frederik Marks, Jorge Vitória
We introduce the new concept of silting modules. These modules generalise tilting modules over an arbitrary ring, as well as support -tilting modules over a finite dimensional a…