Foxby equivalences associated to Gorenstein categories𝒢(𝒳,𝒴,𝒵)

DOI10.1080/00927872.2018.1435788zbMath1404.18007OpenAlexW2792976782MaRDI QIDQ4576724

Liu, Zhongkui, Wanru Zhang, Xiao Yan Yang

Publication date: 10 July 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2018.1435788

zbMATH Keywords

Bass classGorenstein categoryAuslander classFoxby equivalence

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Categories of sets, characterizations (18B05)

Related Items (1)

A unified approach to various Gorenstein modules

Cites Work

• Stability of Gorenstein flat categories with respect to a semidualizing module
• Gorenstein categories \(\mathcal G(\mathscr X,\mathscr Y,\mathscr Z)\) and dimensions
• Relative tor functors for level modules with respect to a semidualizing bimodule
• \(\mathcal W\)-Gorenstein modules
• Ding projective modules with respect to a semidualizing bimodule.
• Foxby equivalence over associative rings.
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• Relative homological algebra
• Absolutely Clean, Level, and Gorenstein AC-Injective Complexes
• Ding Projective and Ding Injective Modules
• STRONGLY GORENSTEIN FLAT MODULES
• GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
• Foxby Equivalence and Cotorsion Theories relative to Semi-dualizing Modules
• Gorenstein Projective Dimension Relative to a Semidualizing Bimodule
• Stability of Gorenstein categories
• Stable module theory
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