Relative FP-injective and FP-flat complexes and their model structures

DOI10.1080/00927872.2018.1514618zbMath1441.18015arXiv1703.10703OpenAlexW2604649683MaRDI QIDQ5231175

Marco A. Pérez, Ti Wei Zhao

Publication date: 26 August 2019

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

Full work available at URL: https://arxiv.org/abs/1703.10703

zbMATH Keywords

covercomplexmodel structureQuillen equivalencecotorsion pairpreenvelope

Mathematics Subject Classification ID

Syzygies, resolutions, complexes in associative algebras (16E05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Chain complexes (category-theoretic aspects), dg categories (18G35) Homological dimension in associative algebras (16E10) Derived categories and associative algebras (16E35) Homotopical algebra, Quillen model categories, derivators (18N40)

Related Items (3)

Torsion and torsion-free classes from objects of finite type in Grothendieck categories ⋮ Locally type \(\mathrm{FP}_n\) and \(n\)-coherent categories ⋮ AC-GORENSTEIN RINGS AND THEIR STABLE MODULE CATEGORIES

Cites Work

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• Homological dimensions and abelian model structures on chain complexes
• Finiteness conditions and cotorsion pairs
• Relative homological algebra. Vol. 1
• Cotorsion pairs induced by duality pairs
• An introduction to homological algebra
• Injective and flat covers, envelopes and resolvents
• Commutative coherent rings
• Flat covers of complexes
• Cotorsion pairs, model category structures, and representation theory
• Relative homological algebra
• Rings that are Morita equivalent to their opposites.
• Cotorsion pairs and degreewise homological model structures
• Approximations and endomorphism algebras of modules.
• Character modules
• Kaplansky classes
• Introduction to Abelian Model Structures and Gorenstein Homological Dimensions
• Absolutely Clean, Level, and Gorenstein AC-Injective Complexes
• WEAK INJECTIVE AND WEAK FLAT COMPLEXES
• A model structure approach to the finitistic dimension conjectures
• FP-INJECTIVE COMPLEXES AND FP-INJECTIVE DIMENSION OF COMPLEXES
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• Parameterizing families of non-noetherian rings
• Onn-Coherent rings
• The flat model structure on 𝐂𝐡(𝐑)
• Cotorsion Pairs of Complexes
• Models for homotopy categories of injectives and Gorenstein injectives
• Character modules, dimension and purity
• Homological and homotopical aspects of torsion theories

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