A generalization of the Mitchell lemma: the Ulmer theorem and the Gabriel-Popescu theorem revisited

DOI10.1016/J.JPAA.2012.01.014zbMath1264.18013OpenAlexW2056537414WikidataQ124815520 ScholiaQ124815520MaRDI QIDQ1934965

Constantin Năstăsescu, Laura Năstăsescu, Septimiu Crivei

Publication date: 30 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.01.014

zbMATH Keywords

Grothendieck categoryGabriel-Popescu theoremMitchell lemmaUlmer theorem

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Functor categories, comma categories (18A25) Localization of categories, calculus of fractions (18E35)

Related Items (2)

Baer criterion for injectivity in abelian categories ⋮ Two criteria for locally Noetherian Grothendieck categories

Cites Work

• Gabriel-Popescu type theorems and applications
• Elementary torsion theories and locally finitely presented categories
• A quick proof of the Gabriel-Popesco theorem
• A generalization of the Gabriel-Popescu theorem
• A simple proof of Gabriel and Popesco's theorem
• A flatnes s criterion in Grothendieck categories
• Sur quelques points d'algèbre homologique
• Coherent Rings and Fp -Injective Modules
• Des catégories abéliennes
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