Vanishing of Tate Cohomology and Gorenstein Injective Dimension

DOI10.1080/00927872.2013.791303zbMath1326.13012OpenAlexW2314684315MaRDI QIDQ5412067

Liu, Zhongkui, De-Jun Wu

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.791303

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• Transfer of Gorenstein dimensions along ring homomorphisms
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Homological dimensions of unbounded complexes
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Restricted homological dimensions and Cohen-Macaulayness
• A generalization of the Auslander-Buchsbaum formula
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Absolute, Gorenstein, and Tate Torsion Modules
• Ascent Properties of Auslander Categories
• Gorenstein Injective Dimension for Complexes and Iwanaga–Gorenstein Rings
• Gorenstein projective dimension for complexes
• Unnamed Item

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