New model structures and projective (injective) cotorsion pairs

DOI10.1142/S0219498823500366OpenAlexW3208216277WikidataQ114072470 ScholiaQ114072470MaRDI QIDQ5879277

Aimin Xu

Publication date: 28 February 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498823500366

zbMATH Keywords

model structurecotorsion pair\(n\)-strongly Gorenstein projective

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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• Totally acyclic complexes
• Gorenstein injective and strongly cotorsion modules.
• The homological theory of quasi-resolving subcategories
• Cotorsion pairs induced by duality pairs
• Strongly Gorenstein projective, injective, and flat modules
• Gorenstein flat preenvelopes
• On rings with finite self-injective dimension. II
• Gorenstein homological dimensions.
• Gorenstein AC-projective complexes
• The flat stable module category of a coherent ring
• On Ding injective, Ding projective and Ding flat modules and complexes
• Cotorsion pairs, model category structures, and representation theory
• Minimal injective and flat resolutions of modules over Gorenstein rings
• Relative homological algebra
• Periodic modules and acyclic complexes
• Model structures on modules over Ding-Chen rings.
• Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
• Models for singularity categories.
• Cotorsion pairs and degreewise homological model structures
• Approximations and endomorphism algebras of modules.
• Gorenstein complexes and recollements from cotorsion pairs
• Introduction to Abelian Model Structures and Gorenstein Homological Dimensions
• Absolutely Clean, Level, and Gorenstein AC-Injective Complexes
• A model structure approach to the finitistic dimension conjectures
• Gorenstein Projective, Injective, and Flat Complexes
• STABILITY OF GORENSTEIN FLAT CATEGORIES
• A GENERALIZATION OF STRONGLY GORENSTEIN PROJECTIVE MODULES
• Rings with finite Gorenstein injective dimension
• The flat model structure on 𝐂𝐡(𝐑)
• NOTES ON STABILITY OF GORENSTEIN CATEGORIES
• Deconstructibility and the Hill Lemma in Grothendieck categories
• Gorenstein model structures and generalized derived categories
• How to construct a Hovey triple from two cotorsion pairs
• GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES
• Gorenstein injective covers and envelopes over noetherian rings
• Periodic flat modules, and flat modules for finite groups.

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