Injective and projective objects in the category of locally compact modules over the ring of integers of a global field (Q1277427)

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scientific article; zbMATH DE number 1256799
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Injective and projective objects in the category of locally compact modules over the ring of integers of a global field
scientific article; zbMATH DE number 1256799

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    Injective and projective objects in the category of locally compact modules over the ring of integers of a global field (English)
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    27 April 1999
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    The aim of this paper is to describe the injective and projective objects in the category of locally compact modules over the ring of integers of a global field. The objects in this category possessing injective or projective resolutions are also described. The translation from the Russian is not so accurate (e.g., ``ring of integral values'' instead of ``ring of integers'', ``resolvent'' instead of ``resolution'', etc.).
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    injective objects
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    Pontryagin duality
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    completions
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    projective objects
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    locally compact modules
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    rings of integers of global fields
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    projective resolutions
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