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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.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 707. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Krause, Henning, |d 1962- |1 https://id.oclc.org/worldcat/entity/E39PBJyrXwXVGc4X6MJPkghT73 | |
| 245 | 1 | 4 | |a The spectrum of a module category / |c Henning Krause. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2001. | ||
| 300 | |a 1 online resource (ix, 125 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 707 | |
| 500 | |a "January 2001, Volume 149, Number 707 (second of 4 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 122-125). | ||
| 505 | 0 | 0 | |t 0. Introduction |t 1. The functor category |t 2. Definable subcategories |t 3. Left approximations |t 4. Duality |t 5. Ideals in the category of finitely presented modules |t 6. Endofinite modules |t 7. Krull-Gabriel dimension |t 8. The infinite radical |t 9. Functors between module categories |t 10. Tame algebras |t 11. Rings of definable scalars |t 12. Reflective definable subcategories |t 13. Sheaves |t 14. Tame hereditary algebras |t 15. Coherent rings. |
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a 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 between the spectrum and the category of finitely presented modules provides new insight into the geometrical and homological properties of the category of finitely presented modules. Various applications from representation theory of finite dimensional algebras are included. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Injective modules (Algebra) | |
| 650 | 0 | |a Categories (Mathematics) | |
| 650 | 6 | |a Modules injectifs (Algèbre) | |
| 650 | 6 | |a Catégories (Mathématiques) | |
| 650 | 7 | |a Categories (Mathematics) |2 fast | |
| 650 | 7 | |a Injective modules (Algebra) |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Krause, Henning, 1962- |t Spectrum of a module category / |x 0065-9266 |z 9780821826188 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 707. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114442 |z Texto completo |
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