Over a commutative noetherian ring $ R $, the prime spectrum controls, via the assignment
of support, the structure of both $\mathsf {Mod}(R) $ and $\mathsf {D}(R) $. We show that …

We classify all compactly generated t-structures in the unbounded derived category of an
arbitrary commutative ring, generalizing the result of Alonso Tarrío et al.(J Algebra 324 (3) …

We investigate parametrizations of compactly generated t-structures, or more generally, t-
structures with a definable coaisle, in the unbounded derived category $\mathrm …

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

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 classify all tilting classes over an arbitrary commutative ring via certain sequences of
Thomason subsets of the spectrum, generalizing the classification for noetherian …

For a noetherian ring $\Lambda $, the stabilization functor in the sense of Krause yields an
embedding of the singularity category of $\Lambda $ into the homotopy category of acyclic …

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 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 …