On projectivity in locally presentable categories.

DOI10.1016/j.jalgebra.2003.09.014zbMath1040.18008OpenAlexW2130203920MaRDI QIDQ1427368

Jiří Rosický

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.014

zbMATH Keywords

locally presentable categorycotorsion theoryprojectivity classweak factorization system.weakly coreflexive category

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Accessible and locally presentable categories (18C35) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items (4)

Flat covers in abelian and in non-abelian categories ⋮ Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories ⋮ Unnamed Item ⋮ Flat covers over formal triangular matrix rings and minimal Quillen factorizations

Cites Work

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• Injective and flat covers, envelopes and resolvents
• Preprojective modules over Artin algebras
• Injective objects and cogenerating sets
• Coherent functors and covariantly finite subcategories
• Weak factorization systems and topological functors
• Flat covers of modules
• Flat covers and factorizations
• Relative homological algebra
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• On Pure Quotients and Pure Subobjects
• The Wallman compactification as a functor

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