4 papers
Infinite -tilting theory
Kevin Schlegel
We classify torsion pairs in an essentially small abelian category through cosilting subsets of the Ziegler spectrum of the ind-completion of the abelian category. For Artin algebr…
Exact Structures and Purity
Kevin Schlegel
We relate the theory of purity of a locally finitely presented category with products to the study of exact structures on the full subcategory of finitely presented objects. Proper…
Constructible Subcategories and Unbounded Representation Type (with an appendix by Andres Fernandez Herrero)
Kevin Schlegel, Andres Fernandez Herrero
We show that bounded type implies finite type for a constructible subcategory of the module category of a finitely generated algebra over a field, which is a variant of the first B…
Ideal Torsion Pairs for Artin Algebras
Kevin Schlegel
For the module category of an Artin algebra, we generalize the notion of torsion pairs to ideal torsion pairs. Instead of full subcategories of modules, ideals of morphisms of the…