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 …

Starting with a Grothendieck category $\mathcal {G} $ and a torsion pair $\mathbf
{t}=(\mathcal {T},\mathcal {F}) $ in $\mathcal G $, we study the local finite presentability and …

We show that Krause's recollement exists for any locally coherent Grothendieck category
whose derived category is compactly generated. As a source of such categories, we …

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) …

In this paper, we prove that for a noetherian formal scheme \mathfrakX, its derived category
of sheaves of modules with quasi-coherent torsion homologies D_qct(\mathfrakX) is …

We generalize the construction given in math. AG/0309435 of a" constant" t-structure on the
bounded derived category of coherent sheaves $ D (X\times S) $ starting with a t-structure …

Let (G,⊗) be any closed symmetric monoidal Grothendieck category. We show that K-flat
covers exist universally in the category of chain complexes and that the Verdier quotient of K …

We associate a $ t $-structure to a family of objects in $\boldsymbol {\mathsf {D}}(\mathcal
{A}) $, the derived category of a Grothendieck category $\mathcal {A} $. Using general …

Let C be a connected Noetherian hereditary Abelian category with a Serre functor over an
algebraically closed field k, with finite-dimensional homomorphism and extension spaces …

We study finiteness conditions in Grothendieck categories by introducing the concepts of
objects of type FP n and studying their closure properties with respect to short exact …