1 citations · 1 across the 3 of their papers we have counts for
7 papers
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…
A characterisation of -tilting finite algebras
Lidia Angeleri Hügel, Frederik Marks, Jorge Vitória
We prove that a finite dimensional algebra is -tilting finite if and only if it does not admit large silting modules. Moreover, we show that for a -tilting finite algebra …
Properties of abelian categories via recollements
Carlos E. Parra, Jorge Vitória
A recollement is a decomposition of a given category (abelian or triangulated) into two subcategories with functorial data that enables the glueing of structural information. This…
Silting modules and ring epimorphisms
Lidia Angeleri Hügel, Frederik Marks, Jorge Vitória
There are well-known constructions relating ring epimorphisms and tilting modules. The new notion of silting module provides a wider framework for studying this interplay. To every…