Flat covers in abelian and in non-abelian categories

DOI10.1016/j.aim.2010.03.027zbMath1200.18006OpenAlexW2012672316MaRDI QIDQ2637922

Wolfgang Rump

Publication date: 13 September 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.03.027

zbMATH Keywords

Ramsey theoryGrothendieck categoryleft exact categoryflat coverpure exact sequencelocally finitely presentedquasi-abelian

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Accessible and locally presentable categories (18C35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Preadditive, additive categories (18E05)

Related Items

The recollements of abelian categories: cotorsion dimensions and cotorsion triples ⋮ The abelian closure of an exact category ⋮ One-sided exact categories ⋮ Sheaves over infinite posets ⋮ Locally torsion-free quasi-coherent sheaves ⋮ Serial compact spaces and the maximal spectrum of a Bézout domain ⋮ Cartan-Eilenberg complexes and resolutions ⋮ Exact categories and infinite tilting ⋮ Flat Discrete Modules Over Profinite Groups ⋮ Elementary varieties and existence of flat covers

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