Tilting complexes, perpendicular categories and recollements of derived module categories of rings
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Publication:1176711
DOI10.1016/0022-4049(91)90029-2zbMath0760.16003OpenAlexW2078962382MaRDI QIDQ1176711
Publication date: 25 June 1992
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(91)90029-2
Related Items (60)
Comparisons of left recollements ⋮ Reducing homological conjectures by \(n\)-recollements ⋮ Jordan-Hölder theorems for derived categories of derived discrete algebras ⋮ On compact exceptional objects in derived module categories ⋮ Bimodule monomorphism categories and RSS equivalences via cotilting modules ⋮ Types of Serre subcategories of Grothendieck categories ⋮ Invariance and localization for cyclic homology of DG algebras ⋮ Two acyclicizations of a complex and an explicit recollement ⋮ Recollements and tilting objects ⋮ Stable \(t\)-structures and homotopy category of Gorenstein-projective modules ⋮ On the Gorenstein defect categories ⋮ Relative homological dimensions in recollements of triangulated categories ⋮ Recollements and Hochschild theory. ⋮ Constructions of derived equivalences for algebras and rings ⋮ Homological epimorphisms, compactly generated \(t\)-structures and Gorenstein-projective modules ⋮ Eventually homological isomorphisms in recollements of derived categories ⋮ Ring constructions and generation of the unbounded derived module category ⋮ Gorenstein projective modules and recollements over triangular matrix rings ⋮ Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras. ⋮ On the existence of recollements of functor categories ⋮ On root categories of finite-dimensional algebras ⋮ Gorenstein-projective modules and symmetric recollements ⋮ Recollements from partial tilting complexes. ⋮ Semi-tilting complexes. ⋮ Stratifying derived module categories ⋮ Affine cellular algebras. ⋮ Recollements from generalized tilting ⋮ Recollements of Gorenstein derived categories ⋮ On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\). ⋮ Syzygy properties under recollements of derived categories ⋮ Recollements and homological dimensions ⋮ Derived equivalences between triangular matrix algebras ⋮ An explicit ladder of homotopy categories ⋮ Upper recollements and triangle expansions ⋮ Gorenstein defect categories of triangular matrix algebras ⋮ On the uniqueness of stratifications of derived module categories. ⋮ Reflecting recollements ⋮ One-point Extensions and Recollements of Derived Categories ⋮ Derived equivalences of triangular matrix rings arising from extensions of tilting modules ⋮ Lifting and restricting recollement data ⋮ Recollements of extension algebras ⋮ Cohomological stratification of diagram algebras. ⋮ Recollement for differential graded algebras ⋮ Ideals of rings of differential operators on algebraic curves (with an appendix by George Wilson). ⋮ Comparisons of recollements and tilting modules ⋮ A recollement construction of Gorenstein derived categories ⋮ On the recollements of functor categories ⋮ Parametrizing recollement data for triangulated categories ⋮ Gorenstein algebras and recollements ⋮ Reduction techniques for the finitistic dimension ⋮ \(G\)-invariant recollements and skew group algebras ⋮ Derived Equivalences and Recollements of Differential Graded Algebras and Schemes ⋮ On Relative Derived Categories ⋮ The recollements induced by contravariantly finite subcategories ⋮ Cotorsion Pairs in a Recollement of Triangulated Categories ⋮ TWO DESCRIPTIONS OF RELATIVE DERIVED CATEGORIES ⋮ Unnamed Item ⋮ Recollements of Singularity Categories and Monomorphism Categories ⋮ Lifting of recollements and gluing of partial silting sets ⋮ Recollements and stratifying ideals
Cites Work
- On the derived category of a finite-dimensional algebra
- Quasi-hereditary orders
- Derived categories and Morita theory
- Algebraic stratification in representation categories
- Perpendicular categories with applications to representations and sheaves
- Affine duality and cofiniteness
- Morita Theory for Derived Categories
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