Definable coaisles over rings of weak global dimension at most one

DOI10.5565/PUBLMAT6512106zbMath1481.13017arXiv1901.04577MaRDI QIDQ2232003

Michal Hrbek, Silvana Bazzoni

Publication date: 1 October 2021

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04577

zbMATH Keywords

derived categorytelescope conjecturehomological epimorphismt-structurecosilting complex

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Derived categories and commutative rings (13D09)

Related Items (1)

Parametrizing torsion pairs in derived categories

Cites Work

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• Smashing localizations of rings of weak global dimension at most one
• Cotilting modules and homological ring epimorphisms
• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• Semi-rigid classes of cotorsion-free Abelian groups
• Invariants of \(t\)-structures and classification of nullity classes
• Compactly generated \(t\)-structures on the derived category of a noetherian ring
• Model theory of modules
• Commutative coherent rings
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• A remark on the generalized smashing conjecture
• Approximations and Mittag-Leffler conditions the tools
• Cosilting modules
• Silting and cosilting classes in derived categories
• Silting theory in triangulated categories with coproducts
• Realisation functors in tilting theory
• Torsion classes generated by silting modules
• Derivators, pointed derivators and stable derivators
• The telescope conjecture for hereditary rings via Ext-orthogonal pairs.
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• Compactly generated t-structures in the derived category of a commutative ring
• Purity in compactly generated derivators and t-structures with Grothendieck hearts
• Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings
• Derived categories of absolutely flat rings
• Valuation domains with a maximal immediate extension of finite rank
• \(t\)-structures on hereditary categories
• Tilting classes over commutative rings
• Cosilting complexes and AIR-cotilting modules
• Torsion pairs in silting theory
• Derived equivalences induced by big cotilting modules
• One-tilting classes and modules over commutative rings
• Triangulated categories and the Ziegler spectrum
• Silting Modules
• Localization with Respect to Certain Periodic Homology Theories
• Coherent functors in stable homotopy theory
• A note on cosilting modules
• Tilting in abelian categories and quasitilted algebras
• Tilting, cotilting, and spectra of commutative noetherian rings
• Cotilting and tilting modules over Prüfer domains

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