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 …

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 study the behavior of direct limits in the heart of a t-structure. We prove that, for any
compactly generated t-structure in a triangulated category with coproducts, countable direct …

It is a well established fact that the notions of quasi-abelian categories and tilting torsion
pairs are equivalent. This equivalence fits in a wider picture including tilting pairs of $ t …

Let $ T $ be a $1 $-tilting module whose tilting torsion pair $({\mathcal T},{\mathcal F}) $ has
the property that the heart ${\mathcal H} _t $ of the induced $ t $-structure (in the derived …

Let A be an abelian category and B be the Happel-Reiten-Smalø tilt of A with respect to a
torsion pair. We give necessary and sufficient conditions for the existence of a derived …

As a general framework for the studies of $ t $-structures on triangulated categories and
torsion pairs in abelian categories, we introduce the notions of extriangulated categories …

We exploit the equivalence between t-structures and normal torsion theories on a stable
∞∞-category to show how a few classical topics in the theory of triangulated categories, ie …

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 …

As a general framework for the studies of t-structures on triangulated categories and torsion
pairs in abelian categories, we introduce the notions of extriangulated categories with …