On Gorenstein global and Gorenstein weak global dimensions

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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Homotopy equivalences induced by balanced pairs
Relative global dimensions and stable homotopy categories
On a question of Gillespie
Gorenstein flat dimension of complexes.
Gorenstein homological dimensions.
Triangulated equivalence between a homotopy category and a triangulated quotient category
Relative singularity categories with respect to Gorenstein flat modules
Gorenstein dimensions of unbounded complexes and change of base (with an appendix by Driss Bennis)
Gorenstein injective and projective modules
Homology theories and Gorenstein dimensions for complexes
Virtually Gorenstein rings and relative homology of complexes
A refinement of Gorenstein flat dimension via the flat-cotorsion theory
Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
On the finiteness of Gorenstein homological dimensions
Tate homology of modules of finite Gorenstein flat dimension.
On the flat length of injective modules
Homotopy categories of totally acyclic complexes with applications to the flat–cotorsion theory
The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
The flat model structure on 𝐂𝐡(𝐑)
Projectively coresolved Gorenstein flat and ding projective modules
Global Gorenstein dimensions
On Gorenstein flat dimension
Gorenstein Injective Dimension for Complexes and Iwanaga–Gorenstein Rings
Gorenstein projective dimension for complexes
On rings with finite Gorenstein weak global dimension
Gorenstein weak global dimension is symmetric

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