Triangle equivalences involving Gorenstein FP-injective modules

DOI10.1080/00927872.2018.1459639zbMath1406.13016OpenAlexW2890174737WikidataQ129249605 ScholiaQ129249605MaRDI QIDQ4689815

Liu, Zhongkui, Zhen Xing Di, Xiao Xiang Zhang

Publication date: 22 October 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1459639

zbMATH Keywords

dimensionstable categoryGorenstein injective moduletriangle equivalenceGorenstein FP-injective module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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• Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
• Gorenstein global dimension of an amalgamated duplication of a coherent ring along an ideal
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Derived categories and stable equivalence
• Gorenstein injective and projective modules
• Relative homological algebra
• WEAK AB-CONTEXT FOR FP-INJECTIVE MODULES WITH RESPECT TO SEMIDUALIZING MODULES
• Hereditary abelian model categories
• Relative singularity categories and Gorenstein-projective modules
• Homotopy theory of modules and Gorenstein rings
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• FP-PROJECTIVE DIMENSIONS
• The flat model structure on 𝐂𝐡(𝐑)
• Global Gorenstein dimensions
• Stability of Gorenstein categories
• Gorenstein Injective Dimension for Complexes and Iwanaga–Gorenstein Rings
• GorensteinFP-Injective Dimension for Complexes
• Coherent Rings and Fp -Injective Modules
• Gorenstein projective dimension for complexes

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