Existence of Gorenstein projective resolutions and Tate cohomology

DOI10.4171/JEMS/72zbMath1114.13012MaRDI QIDQ866487

Peter Jørgensen

Publication date: 20 February 2007

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_issue.php?issn=1435-9855&vol=9&iss=1

zbMATH Keywords

dualizing complexesGorenstein homological algebraGorenstein projective precover

Mathematics Subject Classification ID

Cohomology of groups (20J06) Syzygies, resolutions, complexes and commutative rings (13D02) Syzygies, resolutions, complexes in associative algebras (16E05) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (40)

Gorenstein projective and flat complexes over noetherian rings ⋮ Derived equivalences of functor categories ⋮ Special precovering classes in comma categories ⋮ A relative silting theorem ⋮ Gorenstein complexes and recollements from cotorsion pairs ⋮ Comparison of relative cohomology theories with respect to semidualizing modules ⋮ Homotopy category of projective complexes and complexes of Gorenstein projective modules. ⋮ Totally acyclic complexes over noetherian schemes ⋮ Stable \(t\)-structures and homotopy category of Gorenstein-projective modules ⋮ On the Gorenstein defect categories ⋮ Change of rings and singularity categories ⋮ A generalization of the Nakayama functor ⋮ Sheaves over infinite posets ⋮ Cohomology theories based on flats ⋮ Abelian model structures on categories of quiver representations ⋮ GORENSTEIN PROJECTIVE OBJECTS IN FUNCTOR CATEGORIES ⋮ Finite Gorenstein representation type implies simple singularity ⋮ Recollements of Gorenstein derived categories ⋮ Auslander–Reiten Triangles on Gorenstein Derived Categories ⋮ Gorenstein injective and projective modules and actions of finite-dimensional Hopf algebras. ⋮ Precovers and orthogonality in the stable module category ⋮ Relative Ext groups, resolutions, and Schanuel classes. ⋮ Gorenstein homology, relative pure homology and virtually Gorenstein rings ⋮ Gorenstein projective precovers ⋮ A construction of Gorenstein-projective modules. ⋮ A smashing subcategory of the homotopy category of Gorenstein projective modules ⋮ Gorenstein derived categories ⋮ Modules that detect finite homological dimensions ⋮ Cotorsion pairs in categories of quiver representations ⋮ The homotopy category of cotorsion flat modules ⋮ A Characterization of Gorenstein Projective Modules ⋮ Gorenstein Projective Resolvents ⋮ On the hierarchy of cohomological dimensions of groups ⋮ Pure-injectivity in the category of Gorenstein projective modules ⋮ Maximum deconstructibility in module categories ⋮ Gorenstein injective covers and envelopes over noetherian rings ⋮ Stability of Gorenstein Classes of Modules ⋮ Total Acyclicity for Complexes of Representations of Quivers ⋮ Residues and duality for singularity categories of isolated Gorenstein singularities ⋮ FP-injective dimensions and Gorenstein homology

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