A generalization of the Auslander transpose and the generalized Gorenstein dimension

DOI10.1007/S10587-013-0009-1zbMath1274.13022OpenAlexW2128185118MaRDI QIDQ2838737

Yuxian Geng

Publication date: 10 July 2013

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

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143175

zbMATH Keywords

depthgeneralized Gorenstein dimensionsemidualizing moduletransposeAuslander-Bridger formula

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

Notes on linkage of modules with respect to a semidualizing module ⋮ n-T-COTORSION-FREE MODULES ⋮ On reduced G-perfection and horizontal linkage ⋮ Relative transpose and its dual with respect to a bimodule ⋮ n-T -torsionfree modules ⋮ On relative counterpart of Auslander’s conditions

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• Semi-dualizing complexes and their Auslander categories
• On a generalization of the auslander-bridger transpose
• Stable module theory
• Self-orthogonal modules over coherent rings

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