Injective and projective objects in the category of locally compact modules over the ring of integral values of a global field
Copyright policy )Injective and projective objects in the category of locally compact modules over the ring of integral values of a global field
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.).
- Moscow State Pedagogical University Russian Federation
Module categories in associative algebras, Pontryagin duality, locally compact modules, Projectives and injectives (category-theoretic aspects), completions, Resolutions; derived functors (category-theoretic aspects), projective objects, rings of integers of global fields, Topological and ordered rings and modules, injective objects, projective resolutions
Module categories in associative algebras, Pontryagin duality, locally compact modules, Projectives and injectives (category-theoretic aspects), completions, Resolutions; derived functors (category-theoretic aspects), projective objects, rings of integers of global fields, Topological and ordered rings and modules, injective objects, projective resolutions
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