Relative grade and relative Gorenstein dimension with respect to a semidualizing module

DOI10.1007/s12044-022-00720-4OpenAlexW4315796307MaRDI QIDQ2682388

Maryam Salimi, Elham Tavasoli

Publication date: 31 January 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-022-00720-4

zbMATH Keywords

semidualizing moduleperfect module\(G\)-perfectgrade of module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (1)

Gorenstein weak \(n\)-silting modules and weak \(n\)-star modules

Cites Work

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• Gorenstein projective dimension with respect to a semidualizing module
• Modules over unramified regular local rings
• Semi-dualizing modules and related Gorenstein homological dimensions
• Comparison of relative cohomology theories with respect to semidualizing modules
• Foxby equivalence over associative rings.
• Depth for complexes, and intersection theorems
• Relative homological algebra
• Relative tor functors with respect to a semidualizing module
• Semi-dualizing complexes and their Auslander categories
• GRADE AND GORENSTEIN DIMENSION
• Gorenstein Modules and Related Modules.
• Remarks on a depth formula, a grade inequality and a conjecture of Auslander
• Ring Homomorphisms and Finite Gorenstein Dimension
• Homological aspects of semidualizing modules

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