A partir de cette page vous pouvez :
Retourner au premier écran avec les dernières notices... |
Détail de l'auteur
Auteur Mike PREST |
Documents disponibles écrits par cet auteur
Affiner la recherche Interroger des sources externes
Definable additive categories : purity and model theory / Mike PREST (cop. 2010)
Titre : Definable additive categories : purity and model theory Type de document : texte imprimé Auteurs : Mike PREST, Auteur Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : cop. 2010 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 987 Importance : V-107 p. ISBN/ISSN/EAN : 978-0-8218-4767-1 Langues : Anglais Catégories : 03C60 Mots-clés : catégorie abélienne théorie du modèle Résumé : Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language. Note de contenu : bibliogr. Definable additive categories : purity and model theory [texte imprimé] / Mike PREST, Auteur . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2010 . - V-107 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 987) .
ISBN : 978-0-8218-4767-1
Langues : Anglais
Catégories : 03C60 Mots-clés : catégorie abélienne théorie du modèle Résumé : Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language. Note de contenu : bibliogr. Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21507 854/987 Livre Recherche Salle Disponible