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The spectrum of a module category /
These notes present an introduction into the spectrum of the category of modules over a ring. We discuss the general theory of pure-injective modules and concentrate on the isomorphism classes of indecomposable pure-injective modules which form the underlying set of this spectrum. The interplay betw...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2001.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 707. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 0. Introduction 1. The functor category 2. Definable subcategories 3. Left approximations 4. Duality 5. Ideals in the category of finitely presented modules 6. Endofinite modules 7. Krull-Gabriel dimension 8. The infinite radical 9. Functors between module categories 10. Tame algebras 11. Rings of definable scalars 12. Reflective definable subcategories 13. Sheaves 14. Tame hereditary algebras 15. Coherent rings.