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) …

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 …

For a commutative noetherian ring\(R\), we establish a bijection between the resolving
subcategories consisting of finitely generated\(R\)-modules of finite projective dimension …

We propose a definition of when a triangulated category should be considered a complete
intersection. We show (using work of Avramov and Gulliksen) that for the derived category of …

We study bounded derived categories of the category of representations of infinite quivers
over a ring is a commutative noetherian ring with a dualising complex, we investigate an …

It is well-known that Grothendieck categories need not have projective objects (eg [12],
18.12). However, projective objects can be obtained from certain finiteness conditions. By a …

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 …

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 …

Let k be a field. We show that locally presentable, k-linear categories CC dualizable in the
sense that the identity functor can be recovered as ∐ _i x_i ⊗ f_i∐ ixi⊗ fi for objects x_i ∈ C …