Theory of linkage, Gorenstein dimension and two semidualizing modules

DOI10.1142/s0219498824501330MaRDI QIDQ6601860

Thyago S. Souza

Publication date: 11 September 2024

Published in: Journal of Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Bass classlinkage of modulesreduced gradesemidualizing modulesAuslander class\(G_C\)-dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Linkage, complete intersections and determinantal ideals (13C40) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• Linkage of finite \(\mathsf{G}_{C}\)-dimension modules
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• Semi-dualizing complexes and their Auslander categories. -- Appendix: Chain defects
• A generalization of the Auslander transpose and the generalized Gorenstein dimension
• Gorenstein Modules and Related Modules.
• Linkage and the generic homology of modules
• Homological aspects of semidualizing modules
• Stable module theory
• Notes on linkage of modules with respect to a semidualizing module

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