On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence

DOI10.21136/CMJ.2022.0227-21OpenAlexW3093056992MaRDI QIDQ5878439

Kosar Abolfath Beigi, Massoud Tousi, Kamran Divaani-Aazar

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06546

zbMATH Keywords

local cohomologydualizing moduleBass classsemidualizing moduleBuchsbaum modulegeneralized Cohen-Macaulay moduleAuslander classsurjective Buchsbaum module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14)

Related Items (1)

Dualities and equivalences of the category of relative Cohen-Macaulay modules

Cites Work

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• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Graded Buchsbaum algebras and Segre products
• An introduction to homological algebra
• Surjective-Buchsbaum modules over Cohen-Macaulay local rings
• Semi-dualizing complexes and their Auslander categories
• Bass number characterization of surjective Buchsbaum modules
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Absolutely superficial sequences
• Homological aspects of semidualizing modules
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†

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