Gorenstein Dimensions over Ring Homomorphisms

DOI10.1080/00927872.2014.881836zbMath1328.13017OpenAlexW2033288972MaRDI QIDQ5256719

Wu Dejun

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.881836

zbMATH Keywords

Gorenstein ringGorenstein homomorphismGorenstein injective dimensionCohen factorizationwidth of complex

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)

Related Items (4)

Corrigendum ⋮ Cohen factorizations and Gorenstein dimensions ⋮ GORENSTEIN PROJECTIVE DIMENSIONS OF COMPLEXES UNDER BASE CHANGE WITH RESPECT TO A SEMIDUALIZING MODULE ⋮ A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms

Cites Work

• Transfer of Gorenstein dimensions along ring homomorphisms
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Gorenstein homological dimensions and Auslander categories
• Homological dimensions of unbounded complexes
• Depth for complexes, and intersection theorems
• Structure of local homomorphisms
• Gorenstein dimensions
• Restricted homological dimensions and Cohen-Macaulayness
• Gorenstein injective and projective modules
• First, Second, and Third Change of Rings Theorems for Gorenstein Homological dimensions
• Homology over local homomorphisms
• Ascent Properties of Auslander Categories
• Locally Gorenstein Homomorphisms
• Ring Homomorphisms and Finite Gorenstein Dimension
• Gorenstein Injective Dimension for Complexes and Iwanaga–Gorenstein Rings

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