49 citations · 121 across the 8 of their papers we have counts for
14 papers
A functorial approach to rank functions on triangulated categories
Teresa Conde, Mikhail Gorsky, Frederik Marks +1
We study rank functions on a triangulated category via its abelianisation . We prove that every rank function on can be i…
Lifting and restricting t-structures
Frederik Marks, Alexandra Zvonareva
We explore the interplay between t-structures in the bounded derived category of finitely presented modules and the unbounded derived category of all modules over a coherent ring $…
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…
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…
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 …
Silting and cosilting classes in derived categories
Frederik Marks, Jorge Vitória
An important result in tilting theory states that a class of modules over a ring is a tilting class if and only if it is the Ext-orthogonal class to a set of compact modules of bou…