The Tilting–Cotilting Correspondence

DOI10.1093/imrn/rnz116zbMath1473.18010arXiv1710.02230OpenAlexW3104200844WikidataQ127856935 ScholiaQ127856935MaRDI QIDQ5005214

Jan Šťovíček, L. E. Positsel'skiĭ

Publication date: 9 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02230

zbMATH Keywords

tiltingderived categoryderived equivalencecontramodulescotilting

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Categories and theories (18C99) Eilenberg-Moore and Kleisli constructions for monads (18C20) Categorical algebra (18Exx)

Related Items (13)

Contramodules over pro-perfect topological rings ⋮ Covering classes and 1-tilting cotorsion pairs over commutative rings ⋮ Closure properties of \(\varinjlim \mathcal{C}\) ⋮ Topologically semisimple and topologically perfect topological rings ⋮ Derived, coderived, and contraderived categories of locally presentable abelian categories ⋮ \(t\)-structures with Grothendieck hearts via functor categories ⋮ FLAT RING EPIMORPHISMS OF COUNTABLE TYPE ⋮ Silting and cosilting classes in derived categories ⋮ Tilting Modules and Tilting Torsion Pairs ⋮ Covers and direct limits: a contramodule-based approach ⋮ Exactness of direct limits for abelian categories with an injective cogenerator ⋮ Tilting classes over commutative rings ⋮ Silting Objects

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