2 citations · 3 across the 4 of their papers we have counts for
12 papers
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…
Hearts for commutative noetherian rings: torsion pairs and derived equivalences
Sergio Pavon, Jorge Vitória
Over a commutative noetherian ring , the prime spectrum controls, via the assignment of support, the structure of both and . We show that, just…
Quantity vs. size in representation theory
Jorge Vitória
In this note, we survey two instances in the representation theory of finite-dimensional algebras where the quantity of a type of structures is intimately related to the size of th…
Partial silting objects and smashing subcategories
Lidia Angeleri Hügel, Frederik Marks, Jorge Vitória
We study smashing subcategories of a triangulated category with coproducts via silting theory. Our main result states that for derived categories of dg modules over a non-positive…
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…
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…