Purity, spectra and localisation /

It is possible to associate a topological space to the category of modules over any ring. This space, the Ziegler spectrum, is based on the indecomposable pure-injective modules. Although the Ziegler spectrum arose within the model theory of modules and plays a central role in that subject, this boo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Prest, Mike
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2009.
Colección:Encyclopedia of mathematics and its applications ; v. 121.
Temas:
Logic, Symbolic and mathematical.
Categories (Mathematics)
Logique symbolique et mathématique.
Catégories (Mathématiques)
MATHEMATICS > Infinity.
MATHEMATICS > Logic.
Modultheorie
Modulkategorie
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Pp conditions
  • Purity
  • Pp-pairs and definable subcategories
  • Pp-types and pure-injectivity
  • The Ziegler spectrum
  • Rings of definable scalars
  • M-dimension and width
  • Examples
  • Ideals in mod-R
  • Finitely presented functors
  • Serre subcategories and localisation
  • The Ziegler spectrum and injective functors
  • Dimensions
  • The Zariski spectrum and the sheaf of definable scalars
  • Artin algebras
  • Finitely accessible and presentable additive categories
  • Spectra of triangulated categories
  • Definable categories and interpretation functors.

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