Over a commutative noetherian ring R, the prime spectrum controls, via the assignment of
support, the structure of both Mod (R) and D (R). We show that, just like in Mod (R), the …

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 …

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

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

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) …

arXiv:2310.01834v1 [math.RT] 3 Oct 2023 Page 1 arXiv:2310.01834v1 [math.RT] 3 Oct 2023
MUTATIONS AND DERIVED EQUIVALENCES FOR COMMUTATIVE NOETHERIAN RINGS …

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 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 …

We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …