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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 |
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| 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 |
| Sumario: | 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. |
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| Notas: | "January 2001, Volume 149, Number 707 (second of 4 numbers)." |
| Descripción Física: | 1 online resource (ix, 125 pages) |
| Bibliografía: | Includes bibliographical references (pages 122-125). |
| ISBN: | 9781470402983 147040298X |
| ISSN: | 1947-6221 ; 0065-9266 |