A generalization of a theorem of Foxby

DOI10.1007/s00013-009-0003-xzbMath1174.13020arXiv0902.3037OpenAlexW2043051117MaRDI QIDQ842367

Ryo Takahashi, Tokuji Araya

Publication date: 25 September 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3037

zbMATH Keywords

Gorenstein ringprojective dimensioninjective dimensionsemidualizing module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (4)

Semidualizing modules and rings of invariants ⋮ Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module ⋮ Tensor and Torsion Products of Relative Injective Modules with Respect to a Semidualizing Module ⋮ Using semidualizing complexes to detect Gorenstein rings

Cites Work

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• Modules of finite homological dimension with respect to a semidualizing module
• The set of semidualizing complexes is a nontrivial metric space
• Gorenstein dimensions
• Semi-dualizing complexes and their Auslander categories
• Gorenstein Modules and Related Modules.
• Isomorphims between complexes with applications to the homological theory of modules.
• Rings with finite Gorenstein injective dimension
• Homological aspects of semidualizing modules
• A test complex for Gorensteinness

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