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math.RT2019
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…
math.RT2018
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 …
math.RT2015
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…