Derived equivalence induced by infinitely generated 𝑛-tilting modules

DOI10.1090/S0002-9939-2011-10900-6zbMath1232.16004arXiv0905.3696WikidataQ105710992 ScholiaQ105710992MaRDI QIDQ3103891

Francesca Mantese, Alberto Tonolo, Silvana Bazzoni

Publication date: 13 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3696

zbMATH Keywords

derived categoriesderived equivalencesequivalences of module categoriesquotient categoriesinfinitely generated tilting modulestriangulated subcategories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Abelian categories, Grothendieck categories (18E10)

Related Items (23)

Derived equivalences of functor categories ⋮ Equivalences induced by infinitely generated silting modules ⋮ One-tilting classes and modules over commutative rings ⋮ Tilting modules under special base changes ⋮ Unnamed Item ⋮ The abelian closure of an exact category ⋮ Generalized tilting theory in functor categories ⋮ Symmetric subcategories, tilting modules, and derived recollements ⋮ Derived equivalences induced by nonclassical tilting objects ⋮ Recollements from partial tilting complexes. ⋮ Tilting for regular rings of Krull dimension two ⋮ Recollements from generalized tilting ⋮ Silting theory in triangulated categories with coproducts ⋮ The 𝑡-structure induced by an 𝑛-tilting module ⋮ Cotilting modules and homological ring epimorphisms ⋮ Generalized tilting theory ⋮ Realisation functors in tilting theory ⋮ Exact categories and infinite tilting ⋮ Contramodules and their applications to tilting theory ⋮ Tilting classes over commutative rings ⋮ \( \infty \)-tilting theory ⋮ Relative tilting modules with respect to a semidualizing module ⋮ Good tilting modules and recollements of derived module categories. II

Cites Work

• On the derived category of a finite-dimensional algebra
• Tilting modules arising from ring epimorphisms.
• The localization of spectra with respect to homology
• Infinite Abelian groups and homological methods
• Tilting modules of finite projective dimension
• Derived categories and Morita theory
• Divisible modules over integral domains
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• Tilting modules and tilting torsion theories
• Approximations and endomorphism algebras of modules.
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Weakly tilting bimodules
• Reflexivity in derived categories
• Localization theory for triangulated categories
• Tilting theory and the finitistic dimension conjectures
• A tilting module over commutative integral domains
• Tilted Algebras
• Infinite-Dimensional Modules Over Wild Hereditary Algebras
• Localization in Categories of Complexes and Unbounded Resolutions
• Equivalences induced by infinitely generated tilting modules
• Infinite Dimensional Representations of Canonical Algebras
• Cotorsion modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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