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A quick proof of the Gabriel-Popesco theorem

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Publication:1151958
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DOI10.1016/0022-4049(81)90065-7zbMath0459.18006OpenAlexW2026968178MaRDI QIDQ1151958

Barry Mitchell

Publication date: 1981

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(81)90065-7


zbMATH Keywords

generatortensor productGrothendieck categorycomplete additive categoryGabriel-Popesco theoreminjective test lemmapreserves injectives


Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Categorical embedding theorems (18E20)


Related Items

A generalization of the Gabriel-Popescu theorem ⋮ The Popescu-Gabriel theorem for triangulated categories ⋮ A generalization of the Mitchell lemma: the Ulmer theorem and the Gabriel-Popescu theorem revisited ⋮ \(t\)-structures with Grothendieck hearts via functor categories ⋮ Gabriel-Popescu type theorems and applications



Cites Work

  • Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
  • A simple proof of Gabriel and Popesco's theorem
  • Sur quelques points d'algèbre homologique
  • Unnamed Item
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