Some remarks on a theorem of Bergman

Abhishek Banerjee

doi:10.1016/j.crma.2016.05.005

Algebra/Homological algebra

Some remarks on a theorem of Bergman

Presented by: the Editorial Board

Abhishek Banerjee ¹

¹ Max-Planck-Institut für Mathematik, Vivatsgasse 7, Bonn, Germany

Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 665-670.

Abstract
Résumé

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.

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.

Received: 2016-01-03
Accepted: 2016-05-10
Published online: 2016-05-24

DOI: 10.1016/j.crma.2016.05.005

Author's affiliations:

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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