Finiteness of Gorenstein injective dimension of modules

DOI10.1090/S0002-9939-09-09784-6zbMath1167.13007arXivmath/0605580OpenAlexW2052945778WikidataQ114094082 ScholiaQ114094082MaRDI QIDQ3631822

Leila Khatami, Siamak Yassemi, Massoud Tousi

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0605580

zbMATH Keywords

Gorenstein injective modulesBass formula

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (7)

Transfer of Gorenstein dimensions along ring homomorphisms ⋮ Gorenstein injective filtrations over Cohen-Macaulay rings with dualizing modules ⋮ Gorenstein Homological Dimension with Respect to a Semidualizing Module and a Generalization of a Theorem of Bass ⋮ On the Existence of Certain Modules of Finite Gorenstein Homological Dimensions ⋮ Generalized Local Cohomology Modules and Homological Gorenstein Dimensions ⋮ A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms ⋮ Stability of Gorenstein Classes of Modules

Cites Work

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• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Gorenstein dimensions
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• Some results on local cohomology modules
• On the ubiquity of Gorenstein rings
• On gorenstein injective modules
• The existence of finitely generated modules of finite Gorenstein injective dimension
• A Generalization of a Theorem of Bass
• A note on the injective dimension of local cohomology modules
• On Finite Weak and Injective Dimension
• Stable module theory
• A Bass Formula for Gorenstein Injective Dimension

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