The telescope conjecture for hereditary rings via Ext-orthogonal pairs.

DOI10.1016/j.aim.2010.04.027zbMath1242.16007arXiv0810.1401OpenAlexW2044936545WikidataQ106362642 ScholiaQ106362642MaRDI QIDQ1959663

Henning Krause, Jan Šťovíček

Publication date: 7 October 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1401

zbMATH Keywords

derived categoriescategories of moduleshereditary ringstelescope conjecturethick subcategoriesuniversal localizationsExt-orthogonal pairshomological epimorphisms

Mathematics Subject Classification ID

Related Items (29)

Report on locally finite triangulated categories ⋮ Silting modules and ring epimorphisms ⋮ Smashing localizations of rings of weak global dimension at most one ⋮ A categorification of non-crossing partitions ⋮ Minimal silting modules and ring extensions ⋮ Matlis category equivalences for a ring epimorphism ⋮ Compactly generated t-structures in the derived category of a commutative ring ⋮ Symmetric subcategories, tilting modules, and derived recollements ⋮ The Telescope Conjecture for von Neumann regular rings ⋮ Categorical properties of reduction functors over non-positive DG-rings ⋮ A characterization of hereditary algebras via thick subcategories ⋮ Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras. ⋮ On generically tame algebras over perfect fields. ⋮ Derived localisation of algebras and modules ⋮ Partial silting objects and smashing subcategories ⋮ Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings ⋮ From Ohkawa to Strong Generation via Approximable Triangulated Categories—A Variation on the Theme of Amnon Neeman’s Nagoya Lecture Series ⋮ A local-global principle for the telescope conjecture ⋮ Universal localizations via silting ⋮ Definable coaisles over rings of weak global dimension at most one ⋮ Realisation functors in tilting theory ⋮ Wide subcategories are semistable ⋮ On the uniqueness of stratifications of derived module categories. ⋮ Universal localisations and tilting modules for finite dimensional algebras. ⋮ On compactly generated torsion pairs and the classification of co-$t$-structures for commutative noetherian rings ⋮ On the abundance of silting modules ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ The derived category of the projective line ⋮ Parametrizing torsion pairs in derived categories

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