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 …

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 …

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 …

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 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 …

Let $ R $ be a commutative Noetherian ring and let $\mathcal D (R) $ be its (unbounded)
derived category. We show that all compactly generated t-structures in $\mathcal D (R) …

We investigate conditions when the t-structure of Happel–Reiten–Smalø associated to a
torsion pair is a compactly generated t-structure. The concept of at CG torsion pair is …

Equivalences Induced by Infinitely Generated Silting Modules Page 1 https://doi.org/10.1007/s10468-019-09930-3
Equivalences Induced by Infinitely Generated Silting Modules Simion Breaz1 ·George …

Given an associative ring R and a torsion pair (T, F) in the category of right R-modules, the
heartH (T, F) associated with (T, F) is an abelian subcategory of the bounded derived …