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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2009.
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| Colección: | Encyclopedia of mathematics and its applications ;
v. 121. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 book concentrates specifically on its algebraic aspects and uses. The central aim is to understand modules and the categories they form through associated structures and dimensions, which reflect the complexity of these, and similar, categories. The structures and dimensions considered arise particularly through the application of model-theoretic and functor-category ideas and methods. Purity and associated notions are central, localisation is an ever-present theme and various types of spectrum play organising roles. This book presents a unified, coherent account of material which is often presented from very different viewpoints and clarifies the relationships between these various approaches. |
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| Descripción Física: | 1 online resource (xxviii, 769 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781139649308 1139649302 9781139644242 1139644246 9781139638845 113963884X 9781139641685 1139641689 1139887092 9781139887090 1139635409 9781139635400 1139637541 9781139637541 1139648349 9781139648349 |