In the derived category of a commutative noetherian ring, we explicitly construct a silting
object associated with each sp-filtration of the Zariski spectrum satisfying the “slice” …

Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the
derived category D (Mod-R). We determine the simple objects in this heart and their injective …

This paper surveys some recent results, concerning the intrinsicness of natural
subcategories of weakly approximable triangulated subcategories. We also review the …

We define duality triples and duality pairs in compactly generated triangulated categories
and investigate their properties. This enables us to give an elementary way to determine …

We study the transfer of (co) silting objects in derived categories of module categories via
the extension functors induced by a morphism of commutative rings. It is proved that the …

We show that any homotopically smashing t-structure in the derived category of a
commutative noetherian ring is compactly generated. This generalizes the validity of the …

This paper is dedicated to the study of smashing weight structures (these are the weight
structures" coherent with coproducts"), and the application of their properties to t-structures …

We give an account of model theory in the context of compactly generated triangulated and
tensor-triangulated categories ${\cal T} $. We describe pp formulas, pp-types and free …

We prove that, given any strong and stable derivator and a t-structure in its base triangulated
category D, the t-structure canonically lifts to all the (coherent) diagram categories and each …

We systematically develop, study, and give applications of definable functors between
compactly generated triangulated categories. Such functors preserve pure triangles, pure …