A Bass Formula for Gorenstein Injective Dimension

DOI10.1080/00927870701246684zbMath1124.13007arXivmath/0312513OpenAlexW2061061193MaRDI QIDQ5756452

Leila Khatami, Siamak Yassemi

Publication date: 4 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0312513

zbMATH Keywords

depthGorenstein injective dimensionBass formula

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05)

Related Items (5)

Transfer of Gorenstein dimensions along ring homomorphisms ⋮ Characterizing local rings via homological dimensions and regular sequences ⋮ First, Second, and Third Change of Rings Theorems for Gorenstein Homological dimensions ⋮ Finiteness of Gorenstein injective dimension of modules ⋮ The existence of finitely generated modules of finite Gorenstein injective dimension

Cites Work

• 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
• Gorenstein injective and projective modules
• Characterizing local rings via homological dimensions and regular sequences
• Eine Dualität zwischen den Funktoren Ext und Tor
• On gorenstein injective modules
• Gorenstein injective modules over gorenstein rings
• Characterizing Cohen-Macaulay local rings by Frobenius maps
• Stable module theory

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