Comptes Rendus
no. 7
Algebra/Homological algebra
Some remarks on a theorem of Bergman
[Quelques remarques sur un résultat de Bergman]

Présenté par : the Editorial Board

Abhishek Banerjee1
1 Max-Planck-Institut für Mathematik, Vivatsgasse 7, Bonn, Germany
Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 665-670.

Nous étendons un résultat de Bergman en montrant qu'on peut exprimer chaque objet dans une catégorie de Grothendieck comme la limite d'un système inverse d'objets injectifs. Nous étudions aussi les systèmes inverses d'objets κ-injectifs, où κ est un cardinal régulier infini.

We extend a result of Bergman to show that any object in an arbitrary Grothendieck category may be expressed as an inverse limit of injectives. We also study inverse systems of κ-injective objects, where κ is an infinite regular cardinal.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.05.005
Abhishek Banerjee 1

1 Max-Planck-Institut für Mathematik, Vivatsgasse 7, Bonn, Germany 
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Abhishek Banerjee. Some remarks on a theorem of Bergman. Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 665-670. doi : 10.1016/j.crma.2016.05.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.05.005/

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