Gorenstein projective dimension for complexes
From MaRDI portal
Publication:5713174
DOI10.1090/S0002-9947-05-03771-2zbMath1094.16007arXivmath/0406057MaRDI QIDQ5713174
Publication date: 12 December 2005
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0406057
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (66)
Semi-dualizing modules and related Gorenstein homological dimensions ⋮ Homological invariants of unbounded complexes under Frobenius extensions ⋮ Dimension of complexes related to special Gorenstein projective precovers(II) ⋮ Stable cohomology over local rings ⋮ Gorenstein algebras and Hochschild cohomology ⋮ Tate homology of modules of finite Gorenstein flat dimension. ⋮ Vanishing of Tate homology -- an application of stable homology for complexes ⋮ On Gorenstein projective, injective and flat dimensions -- a functorial description with applications ⋮ Triangulated equivalence between a homotopy category and a triangulated quotient category ⋮ Complete cohomology for complexes with finite Gorenstein AC-projective dimension ⋮ Existence of Gorenstein projective resolutions and Tate cohomology ⋮ Level and Gorenstein projective dimension ⋮ Restricted homological dimensions of complexes ⋮ Complete homology over associative rings ⋮ Cohomology theories for complexes ⋮ Relative singularity categories with respect to Gorenstein flat modules ⋮ Avramov-Martsinkovsky type exact sequences with \(\mathrm {Tor}\) functors ⋮ Balance of Tate cohomology in triangulated categories ⋮ Generalized Tate cohomology and Avramov–Martsinkovsky type sequences ⋮ Cohen factorizations and Gorenstein dimensions ⋮ Balance for relative cohomology of complexes ⋮ Preservation of quasi-isomorphisms of complexes ⋮ On Gorenstein global and Gorenstein weak global dimensions ⋮ Remarks on balance for Tate and generalized Tate (co)homology ⋮ Gorenstein FC-projective modules ⋮ Gorenstein dimensions of unbounded complexes and change of base (with an appendix by Driss Bennis) ⋮ A model structure approach to the Tate-Vogel cohomology ⋮ Gorenstein projective modules and recollements over triangular matrix rings ⋮ Relative cohomology of complexes II: vanishing of relative cohomology ⋮ Relative cohomology of complexes ⋮ Stable homology over associative rings ⋮ Cohomology theories based on flats ⋮ Gorenstein cohomology of N-complexes ⋮ Vanishing of Tate homology and depth formulas over local rings ⋮ HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS ⋮ Relative cohomology of complexes based on cotorsion pairs ⋮ $VW$-Gorenstein complexes ⋮ Tate homology of modules based on Tate \(\mathcal {F}_C\)-resolutions ⋮ Tate cohomology for complexes with finite Gorenstein AC-injective dimension ⋮ Tate homology with respect to cotorsion pairs ⋮ Tate (co)homology via pinched complexes ⋮ Gorenstein \(FI\)-flat dimension and Tate homology ⋮ Cohomology theories in triangulated categories ⋮ Vanishing of Tate Cohomology and Gorenstein Injective Dimension ⋮ On Gorenstein projective dimensions of unbounded complexes ⋮ Transfer of Gorenstein Dimensions of Unbounded Complexes Along Ring Homomorphisms ⋮ DERIVED CATEGORIES WITH RESPECT TO DING MODULES ⋮ Triangle equivalences involving Gorenstein FP-injective modules ⋮ Totally acyclic approximations ⋮ Strongly Gorenstein Flat Dimensions of Complexes ⋮ Gorenstein Projective Resolvents ⋮ On triangle equivalences of stable categories ⋮ On the hierarchy of cohomological dimensions of groups ⋮ Homology theories and Gorenstein dimensions for complexes ⋮ Gorenstein AC-projective dimension of unbounded complexes ⋮ Relative homological dimensions and Tate cohomology of complexes with respect to cotorsion pairs ⋮ Buchweitz’s equivalences for Gorenstein flat modules with respect to semidualizing modules ⋮ Gorenstein Injective Dimension for Complexes and Iwanaga–Gorenstein Rings ⋮ A Zariski-local notion of F-total acyclicity for complexes of sheaves ⋮ Gorenstein Flat and Cotorsion Dimensions of Unbounded Complexes ⋮ When the Schur functor induces a triangle-equivalence between Gorenstein defect categories ⋮ A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms ⋮ GorensteinFP-Injective Dimension for Complexes ⋮ Matrix factorizations in higher codimension ⋮ Gorenstein \(n\)-flat dimension and Tate homology. ⋮ Dimension of complexes related to special Gorenstein projective precovers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cohomology of sheaves
- Vanishing of \(Ext^ i_ R(M,R)\)
- Complete cohomological functors on groups
- Homological dimensions of unbounded complexes
- An extension of Tate cohomology to a class of infinite groups
- On complete resolutions
- Complete intersection dimension
- Gorenstein homological dimensions.
- Gorenstein dimensions
- Construction of modules with finite homological dimensions
- Complete intersection dimensions for complexes
- Gorenstein injective and projective modules
- Relative homological algebra
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- Gorenstein derived functors
- On homological dimensions
- G-Dimension.
- Stable module theory
This page was built for publication: Gorenstein projective dimension for complexes
