Starting with a Grothendieck category G and a torsion pair t D. T; F/in G, we study the local
finite presentability and local coherence of the heart Ht of the associated Happel–Reiten …

Let G be a locally coherent Grothendieck category. We show that, under particular
conditions, if a t-structure τ in the unbounded derived category D (G) restricts to the bounded …

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 study when the heart of at-structure in a triangulated category D with coproducts is AB5
or a Grothendieck category. If D satisfies Brown representability, at-structure has an AB5 …

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 …

We study t-structures with Grothendieck hearts on compactly generated triangulated
categories TT that are underlying categories of strong and stable derivators. This setting …

In this paper we revisit the problem of determining when the heart of a t-structure is a
Grothendieck category, with special attention to the case of the Happel-Reiten-Smal …

We show that the relative Auslander-Buchweitz context on a triangulated category $\T $
coincides with the notion of co-$ t $-structure on certain triangulated subcategory of $\T …

Let G be a Grothendieck category, let t=(T, F) be a torsion pair in G and let (U t, W t) be the
associated Happel–Reiten–Smalø t-structure in the derived category D (G). We prove that …

We provide various ways to characterise $\Sigma $-pure-injective objects in a compactly
generated triangulated category. These characterisations mimic analogous well-known …