Equivalences induced by infinitely generated tilting modules

DOI10.1090/S0002-9939-09-10120-XzbMath1233.16008arXiv0906.4445OpenAlexW3100479276WikidataQ105710973 ScholiaQ105710973MaRDI QIDQ5189177

Silvana Bazzoni

Publication date: 8 March 2010

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

Full work available at URL: https://arxiv.org/abs/0906.4445

zbMATH Keywords

derived categoriesderived equivalencesinfinitely generated tilting modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

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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 ⋮ Silting modules and ring epimorphisms ⋮ The abelian closure of an exact category ⋮ Constructions of derived equivalences for algebras and rings ⋮ Recollements from partial tilting complexes. ⋮ Tilting for regular rings of Krull dimension two ⋮ Recollements from generalized tilting ⋮ The 𝑡-structure induced by an 𝑛-tilting module ⋮ Cotilting modules and homological ring epimorphisms ⋮ Triangulated Matlis equivalence ⋮ Realisation functors in tilting theory ⋮ Exact categories and infinite tilting ⋮ Large tilting sheaves over weighted noncommutative regular projective curves ⋮ Exact contexts, noncommutative tensor products, and universal localizations ⋮ Recollements of derived categories. I: Construction from exact contexts ⋮ Tilting classes over commutative rings ⋮ \( \infty \)-tilting theory ⋮ Derived equivalence induced by infinitely generated 𝑛-tilting modules

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