Every module is an inverse limit of injectives

DOI10.1090/S0002-9939-2012-11453-4zbMath1273.16004arXiv1104.3173MaRDI QIDQ4911819

George M. Bergman

Publication date: 20 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3173

zbMATH Keywords

inverse limits of injective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) General module theory in associative algebras (16D10)

Related Items (5)

Some remarks on a theorem of Bergman ⋮ Closure properties of \(\varinjlim \mathcal{C}\) ⋮ Modules \(M\) such that \(\mathrm{Ext}_R^1(M,-)\) commutes with direct limits. ⋮ Infinitely generated pseudocompact modules for finite groups and Weiss' theorem ⋮ Two definable subcategories of maximal Cohen-Macaulay modules

Cites Work

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• Injective modules over Noetherian rings
• Classi di gruppi abeliani chiuse rispetto alle immagini omomorfe ed ai limiti proiettivi
• Injective Dimension in Noetherian Rings
• Shorter Notes: An Empty Inverse Limit
• A Problem on Inverse Mapping Systems
• On Inverse Systems with Trivial Limits

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