FP-injective dimensions and Gorenstein homology

DOI10.1017/S0013091522000542WikidataQ123028825 ScholiaQ123028825MaRDI QIDQ5877607

Gang Yang, Junpeng Wang

Publication date: 14 February 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

FP-injective modulesGorenstein flat modulesGorenstein projective modules

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Totally acyclic complexes over noetherian schemes
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Existence of Gorenstein projective resolutions and Tate cohomology
• The flat dimensions of injective modules
• Gorenstein homological dimensions.
• On Ding injective, Ding projective and Ding flat modules and complexes
• On the global dimension of fibre products
• Gorenstein injective and projective modules
• Relative homological algebra
• Model structures on modules over Ding-Chen rings.
• Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
• Gorenstein complexes and recollements from cotorsion pairs
• A Characterization of Gorenstein Projective Modules
• ALL MODULES HAVE FLAT COVERS
• STRONGLY GORENSTEIN FLAT MODULES
• Envelopes and Covers by Modules of FiniteFP-Injective and Flat Dimensions
• Rings with finite Gorenstein injective dimension
• Projectively coresolved Gorenstein flat and ding projective modules
• Global Gorenstein dimensions
• On Gorenstein flat dimension
• All Modules Have Gorenstein Flat Precovers
• HEREDITARY RINGS
• Coherent Rings and Fp -Injective Modules
• Stable module theory
• the stable derived category of a noetherian scheme