Mike Prest

Purity, Spectra and Localisation

• Gebundenes Buch

Produktbeschreibung

A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 798
• Erscheinungstermin: 6. Juli 2009
• Englisch
• Abmessung: 238mm x 161mm x 50mm
• Gewicht: 1338g
• ISBN-13: 9780521873086
• ISBN-10: 0521873088
• Artikelnr.: 26432105

Autorenporträt

Mike Prest is Professor of Pure Mathematics at the University of Manchester.

Inhaltsangabe

Preface
Introduction
Part I. Modules: 1. Pp conditions
2. Purity
3. Pp pairs and definable subcategories
4. Pp-types and pure-injectivity
5. The Ziegler spectrum
6. Rings of definable scalars
7. m-dimension and width
8. Examples
9. Ideals in mod-R
A. Model theory
Part II. Functors: 10. Finitely presented functors
11. Serre subcategories and localisation
12. The Ziegler spectrum and injective functors
13. Dimensions
14. The Zariski spectrum and the sheaf of definable scalars
15. Artin algebras
16. Finitely accessible and presentable additive categories
17. Spectra of triangulated categories
B. Languages for definable categories
C. A model theory/functor category dictionary
Part III. Definable categories: 18. Definable categories and interpretation functors
D. Model theory of modules: an update
E. Glossary
Main examples
Bibliography
Index.