Flat covers and factorizations

DOI10.1016/S0021-8693(02)00043-1zbMath1024.18002OpenAlexW2148808418MaRDI QIDQ1849114

Jiří Rosický

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00043-1

zbMATH Keywords

flat coverweak factorization system

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Projectives and injectives (category-theoretic aspects) (18G05) Special properties of functors (faithful, full, etc.) (18A22) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items (9)

Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories ⋮ An explicit self-dual construction of complete cotorsion pairs in the relative context ⋮ CELLULAR CATEGORIES AND STABLE INDEPENDENCE ⋮ On exact categories and applications to triangulated adjoints and model structures ⋮ On projectivity in locally presentable categories. ⋮ Weak factorization systems for \(S\)-acts. ⋮ Flat covers over formal triangular matrix rings and minimal Quillen factorizations ⋮ Flat Discrete Modules Over Profinite Groups ⋮ Derived equivalences induced by big cotilting modules

Cites Work

• Injective and flat covers, envelopes and resolvents
• Constructions of factorization systems in categories
• Weak factorization systems and topological functors
• Flat covers of modules
• Homotopical algebra
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• Sheafifiable homotopy model categories
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