Some characterizations of Auslander and Bass classes

DOI10.1007/S41980-020-00517-ZzbMath1483.18016OpenAlexW3121842275MaRDI QIDQ2119281

Weiling Song, Yuntao Huang

Publication date: 29 March 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00517-z

zbMATH Keywords

Auslander classessemidualizing bimodulesrelative homological dimensionsBass classes

Mathematics Subject Classification ID

Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Cites Work

• Homological dimensions relative to preresolving subcategories
• Homological aspects of the dual Auslander transpose. II
• Homological invariants associated to semi-dualizing bimodules.
• Semi-dualizing modules and related Gorenstein homological dimensions
• Homological aspects of the dual Auslander transpose
• Foxby equivalence over associative rings.
• Gorenstein dimensions
• Flat covers of modules
• Proper resolutions and Gorenstein categories
• Semi-dualizing complexes and their Auslander categories
• Gorenstein Modules and Related Modules.
• Ring Homomorphisms and Finite Gorenstein Dimension
• Homological aspects of the adjoint cotranspose
• Homological aspects of semidualizing modules
• Homological invariants related to semidualizing bimodules

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