To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

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 …

Let $\mathcal {A} $ be a Hom-finite abelian category with enough projectives. In this note,
we show that any covariantly finite $\tau $-rigid subcategory is contained in a support $\tau …

First, we show that a compact object C in a triangulated category, which satisfies suitable
conditions, induces a t-structure. Second, in an abelian category we show that a complex P …

We classify complactly generated t-structures on the derived category of modules over a
commutative Noetherian ring R in terms of decreasing filtrations by supports on Spec (R). A …

In the preceding part (I) of this paper, we showed that for any torsion pair (ie, t-structure
without the shift-closedness) in a triangulated category, there is an associated abelian …

D. Happel, I. Reiten and S. Smalø initiated an investigation of quasitilted artin $ K $-algebras
that are the endomorphism rings of tilting objects in hereditary abelian categories whose …

The use of category equivalences for the study of endomorphism rings stems from the Morita
theorem. In a sense, this theorem can be viewed as stating that if P is a finitely generated …

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 …

Abstract If (A, B) and (A′, B′) are co-t-structures of a triangulated category, then (A′, B′)
is called intermediate if A⊆ A′⊆ Σ A. Our main results show that intermediate co-t …