Let $ R $ be a commutative Noetherian ring such that $ X= Spec R $ is connected. We prove
that the category $ D^ b (coh X) $ contains no proper full triangulated subcategories which …

Let R be a commutative noetherian ring and denote by\({{\,\mathrm {\textsf {mod}}\,}} R\) the
category of finitely generated R-modules. In this paper, we study KE-closed subcategories …

Let $ R $ be a commutative noetherian ring. Denote by $\operatorname {mod} R $ the
category of finitely generated $ R $-modules, by $\operatorname {D^ b}(R) $ the bounded …

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 construct an invariant of t-structures on the derived category of a Noetherian ring. This
invariant is complete when restricting to the category of quasi-coherent complexes, and also …

We classify compactly generated co-$ t $-structures on the derived category of a
commutative noetherian ring. In order to accomplish this, we develop a theory for compactly …

We classify bounded t-structures on the category of perfect complexes over a commutative,
Noetherian ring of finite Krull dimension, extending a result of Alonso Tarrío, Jeremías López …

In this paper, we prove Faltings' annihilator theorem for complexes over a CM-excellent ring.
As an application, we give a complete classification of the t-structures of the bounded …

Let $ R $ be the quotient of a regular coherent commutative ring by a finitely generated
ideal. In this paper, we classify all abelian subcategories of finitely presented $ R $-modules …

Let $ A $ be a commutative noetherian ring. In this paper, we interpret localizing
subcategories of the derived category of $ A $ by using subsets of Spec $ A $ and …