A QUILLEN MODEL STRUCTURE APPROACH TO HOMOLOGICAL DIMENSIONS OF COMPLEXES

DOI10.1142/S0219498813501065zbMath1304.16007OpenAlexW2103749022MaRDI QIDQ5414193

Wei Ren, Liu, Zhongkui

Publication date: 2 May 2014

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

Full work available at URL: https://doi.org/10.1142/s0219498813501065

zbMATH Keywords

von Neumann regular ringsmodel structurescotorsion pairscategories of complexesGorenstein projective dimensionhomological dimensions of complexes

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension (category-theoretic aspects) (18G20) Chain complexes (category-theoretic aspects), dg categories (18G35) Homological dimension in associative algebras (16E10)

Related Items (1)

Flat model structures under excellent extensions

Cites Work

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• Gorenstein injective complexes of modules over Noetherian rings.
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• Gorenstein injective and projective complexes
• FP-PROJECTIVE DIMENSIONS
• The flat model structure on 𝐂𝐡(𝐑)
• G-Dimension.
• Gorenstein model structures and generalized derived categories
• Gorenstein Injective Dimension for Complexes and Iwanaga–Gorenstein Rings
• Coherent Rings and Fp -Injective Modules

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