Exact completion and representations in abelian categories

DOI10.4310/HHA.2001.v3.n3.a1zbMath0993.18001OpenAlexW2108132368MaRDI QIDQ5947977

Enrico M. Vitale, Jiří Rosický

Publication date: 11 December 2001

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49367

zbMATH Keywords

completionabelian categoryFrobenius categoryMal'cev categorystable epi-mono factorization structure

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Abelian categories, Grothendieck categories (18E10) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Embedding theorems, universal categories (18B15) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items (7)

Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories ⋮ Cofibrant generation of pure monomorphisms ⋮ Flatness, weakly lex colimits, and free exact completions ⋮ Unnamed Item ⋮ Star-regularity and regular completions ⋮ Lax factorization algebras ⋮ Proper factorization systems in 2-categories

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