A remark on the generalized smashing conjecture

DOI10.1007/BF02567453zbMath0826.18004WikidataQ123357134 ScholiaQ123357134MaRDI QIDQ1340233

Keller, Bernhard

Publication date: 19 November 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155987

zbMATH Keywords

triangulated categoryderived categoryderived functorlocalizing subcategorysmall objectssmashing conjecture

Mathematics Subject Classification ID

Related Items (34)

Noncommutative localisation in algebraic \(K\)-theory. I ⋮ Smashing localizations of rings of weak global dimension at most one ⋮ Invariance and localization for cyclic homology of DG algebras ⋮ Excision in algebraic -theory revisited ⋮ A tour about existence and uniqueness of dg enhancements and lifts ⋮ Compactly generated t-structures in the derived category of a commutative ring ⋮ Stratification and the smashing spectrum ⋮ Adelic descent for K-theory ⋮ The Telescope Conjecture for von Neumann regular rings ⋮ K-theory of large categories ⋮ \(t\)-structures on stable derivators and Grothendieck hearts ⋮ 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 Short Introduction to the Telescope and Chromatic Splitting Conjectures ⋮ Noncommutative curves and noncommutative surfaces ⋮ The telescope conjecture for hereditary rings via Ext-orthogonal pairs. ⋮ A local-global principle for the telescope conjecture ⋮ On the telescope conjecture for module categories. ⋮ Telescope conjecture, idempotent ideals, and the transfinite radical ⋮ Definable coaisles over rings of weak global dimension at most one ⋮ Colocalizing subcategories of D(R) ⋮ Deformed Calabi–Yau completions ⋮ The countable telescope conjecture for module categories. ⋮ Homological epimorphisms, homotopy epimorphisms and acyclic maps ⋮ Universal localisations and tilting modules for finite dimensional algebras. ⋮ Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras. ⋮ On compactly generated torsion pairs and the classification of co-$t$-structures for commutative noetherian rings ⋮ Parametrizing recollement data for triangulated categories ⋮ On torsion theories, weight and \(t\)-structures in triangulated categories ⋮ Rank functions on triangulated categories ⋮ On perfectly generated weight structures and adjacent \(t\)-structures ⋮ The derived category of the projective line ⋮ Definability and approximations in triangulated categories

Cites Work

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• Excision in cyclic homology and in rational algebraic K-theory
• The localization of spectra with respect to homology
• Cohomology theories
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Localization with Respect to Certain Periodic Homology Theories
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel

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