Local coherence of hearts in the derived category of a commutative ring

L Martini - 2022 - iris.unitn.it
Approximation theory is a fundamental tool in order to study the representation theory of a
ring R. Roughly speaking, it consists in determining suitable additive or abelian …

Local coherence of hearts associated with Thomason filtrations

L Martini, CE Parra - Journal of Pure and Applied Algebra, 2022 - Elsevier
Any Thomason filtration of a commutative ring yields (at least) two t-structures in the derived
category of the ring, one of which is compactly generated [19],[20]. We study the hearts of …

Classifying subcategories, local algebra and the Rosenberg spectrum of a locally noetherian category

A Banerjee - arXiv preprint arXiv:1710.08068, 2017 - arxiv.org
Let $\mathcal A $ be a locally noetherian Grothendieck category. In this paper, we study
subcategories of $\mathcal A $ using subsets of the Rosenberg spectrum $\mathfrak Spec …

[引用][C] Finiteness conditions on hearts of t-structures