Smashing localizations of rings of weak global dimension at most one

DOI10.1016/j.aim.2016.09.028zbMath1386.13043arXiv1402.7294OpenAlexW2261508978WikidataQ105711049 ScholiaQ105711049MaRDI QIDQ340408

Jan Šťovíček, Silvana Bazzoni

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1402.7294

zbMATH Keywords

derived categoriesvaluation ringtelescope conjecturehomological epimorphismsmashing localization

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Localization of categories, calculus of fractions (18E35) Derived categories and commutative rings (13D09)

Related Items

One-tilting classes and modules over commutative rings ⋮ Silting modules and ring epimorphisms ⋮ Matlis category equivalences for a ring epimorphism ⋮ Stratification and the smashing spectrum ⋮ The Telescope Conjecture for von Neumann regular rings ⋮ Partial silting objects and smashing subcategories ⋮ Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings ⋮ Universal localizations via silting ⋮ Definable coaisles over rings of weak global dimension at most one ⋮ Cotilting modules and homological ring epimorphisms ⋮ On the abundance of silting modules ⋮ Parametrizing torsion pairs in derived categories ⋮ Recollements and stratifying ideals

Cites Work

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• Recollements and tilting objects
• Parametrizing recollement data for triangulated categories
• The localization of spectra with respect to homology
• The Bousfield lattice for truncated polynomial algebras
• Nilpotence and stable homotopy theory. I
• Perpendicular categories with applications to representations and sheaves
• Commutative coherent rings
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• A remark on the generalized smashing conjecture
• Derived equivalences for group rings
• Oddball Bousfield classes
• Cotorsion pairs, model category structures, and representation theory
• The telescope conjecture for hereditary rings via Ext-orthogonal pairs.
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• Relative homological algebra
• Derived categories of absolutely flat rings
• Models for singularity categories.
• Homotopical algebra
• Noncommutative localizations and applications
• The core of a ring
• Triangulated Categories
• On compactly generated torsion pairs and the classification of co-$t$-structures for commutative noetherian rings
• Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
• Generalized tensor idempotents and the telescope conjecture
• Localization theory for triangulated categories
• Stratifying triangulated categories
• Cohomological quotients and smashing localizations
• Homological Epimorphisms of Differential Graded Algebras
• Localization with Respect to Certain Periodic Homology Theories
• Quotients of representation-finite algebras
• Deriving DG categories
• Axiomatic stable homotopy theory
• The Cohomological Dimension of a Directed Set
• Algebras and Modules in Monoidal Model Categories
• The flat model structure on 𝐂𝐡(𝐑)
• (Contravariant) Koszul Duality for DG Algebras
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
• Autour de la platitude
• Epimorphisms and Dominions. IV
• The spectrum of prime ideals in tensor triangulated categories

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