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Two criteria for locally noetherian Grothendieck categories

Banerjee, A (2023) Two criteria for locally noetherian Grothendieck categories. In: Journal of Pure and Applied Algebra, 227 (3).

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Official URL: https://doi.org/10.1016/j.jpaa.2022.107233


We give two criteria for a Grothendieck category to be locally noetherian. The first of these is in terms of direct sum decompositions into uniform components. The second is related to the existence of finitely injective objects that cannot be expressed as a direct sum of injectives. © 2022 Elsevier B.V.

Item Type: Journal Article
Publication: Journal of Pure and Applied Algebra
Publisher: Elsevier B.V.
Additional Information: The copyright for this article belongs to Elsevier B.V..
Department/Centre: Division of Interdisciplinary Sciences > Interdisciplinary Mathematical Sciences
Date Deposited: 30 Sep 2022 12:43
Last Modified: 30 Sep 2022 12:43
URI: https://eprints.iisc.ac.in/id/eprint/77005

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