Silting and cosilting classes in derived categories
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Publication:1703233
DOI10.1016/J.JALGEBRA.2017.12.031zbMath1441.16011arXiv1704.06484OpenAlexW2963148052MaRDI QIDQ1703233
Publication date: 1 March 2018
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.06484
Torsion theories, radicals (18E40) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)
Related Items (17)
Silting and cosilting modules over trivial ring extensions ⋮ Compactly generated t-structures in the derived category of a commutative ring ⋮ Weight structures cogenerated by weak cocompact objects ⋮ Injective cogenerators, cotilting modules and cosilting modules ⋮ Lifting and restricting t‐structures ⋮ Purity in compactly generated derivators and t-structures with Grothendieck hearts ⋮ The structure of aisles and co-aisles of t-structures and co-t-structures ⋮ Singular equivalences to locally coherent hearts of commutative Noetherian rings ⋮ \(t\)-structures on stable derivators and Grothendieck hearts ⋮ Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings ⋮ Unnamed Item ⋮ An Auslander-Buchweitz approximation approach to (pre)silting subcategories in triangulated categories ⋮ Definable coaisles over rings of weak global dimension at most one ⋮ Hearts for commutative Noetherian rings: torsion pairs and derived equivalences ⋮ Silting Objects ⋮ Definability and approximations in triangulated categories ⋮ Parametrizing torsion pairs in derived categories
Cites Work
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- Semi-tilting complexes.
- Smashing subcategories and the telescope conjecture -- an algebraic approach
- Relative homological algebra and purity in triangulated categories
- When are definable classes tilting and cotilting classes?
- Cosilting complexes and AIR-cotilting modules
- Torsion pairs in silting theory
- Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
- Approximations and endomorphism algebras of modules.
- Infinitely generated complements to partial tilting modules
- On compactly generated torsion pairs and the classification of co-$t$-structures for commutative noetherian rings
- Silting Modules
- Silting mutation in triangulated categories
- All 𝑛-cotilting modules are pure-injective
- Cotilting modules are pure-injective
- Silting Modules over Commutative Rings
- The Tilting–Cotilting Correspondence
- On the abundance of silting modules
- All tilting modules are of finite type
- Cotilting and tilting modules over Prüfer domains
- Tilting modules and Gorenstein rings
- Homological and homotopical aspects of torsion theories
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