Some finiteness results in the category U

This note investigate some finiteness properties of the category U of unstable modules. One shows finiteness properties for the injective resolution of finitely generated unstable modules. One also shows a stabilization result under Frobenius twist for Ext-groups.

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Some finiteness results in the category UHTML
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Field	Value
Source	https://hal.science/hal-00936529
Author	Nguyen The, Cuong, Schwartz, Lionel
Maintainer	CCSD
Last Updated	May 5, 2026, 15:53 (UTC)
Created	May 5, 2026, 15:53 (UTC)
Identifier	hal-00936529
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	Laboratoire Analyse, Géométrie et Applications (LAGA) ; Université Paris 8 (UP8)-Université Paris 13 (UP13)-Institut Galilée-Centre National de la Recherche Scientifique (CNRS)
creator	Nguyen The, Cuong
date	2014-01-26T00:00:00
harvest_object_id	fc807931-0575-4f26-8665-6bc4a7c9701a
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2025-10-06T00:00:00
set_spec	type:UNDEFINED