LMS: 130 Model Theory and Modules (London Mathematical Society Lecture Note Series).
Language: English
Published by Cambridge University Press, 2008
Series: Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
- Used
Seller: ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, GermanyANTIQUARIAT Franke BRUDDENBOOKS
AbeBooks seller since January 17, 2005
Condition: Used - Very good
US$ 34.20
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380 S. Das Buch ist in gutem, sauberen Zustand. Einband berieben / fleckig. Ecken und Kanten leicht bestossen. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt. The interplay between model theory and other branches of mathematics has led to intriguing results. In this book, the theme is the interplay between model theory and the theory of modules. It is an introduction to the subject and introduces the requisite model theory and module theory as is needed.In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time. Introduction; Acknowledgements; Notations and conventions; Remarks on the development of the area; Section summaries; 1. Some preliminaries; 2. Positive primitive formulas and the sets they define; 3. Stability and totally transcendental modules; 4. Hulls; 5. Forking and ranks; 6. Stability-theoretic properties of types; 7. Superstable modules; 8. The lattice of pp-types and free realisations of pp-types; 9. Types and the structure of pure-injective modules; 10. Dimension and decomposition; 11. Modules over artinian rings; 12. Functor categories; 13. Modules over artin algebras; 14. Projective and flat modules; 15. Torsion and torsionfree classes; 16. Elimination of quantifiers; 17. Decidability and undecidability; Problems page; Bibliography; Examples index; Notation index; Index. ISBN: 9780521348331 Due to new EU packaging regulations, we are currently unable to ship to many EU countries. Shipping to Germany, the Netherlands, Ireland, Finland, and the Baltic states is possible. Deliveries to border-based parcel lockers or cross-border parcel forwarding services remain possible. Shipping to all countries outside the EU also remains possible. Sprache: Englisch Gewicht in Gramm: 590.…
Seller Inventory # 669015
- Title
- LMS: 130 Model Theory and Modules (London Mathematical Society Lecture Note Series).
- Author
- Mike Prest:
- Publisher
- Cambridge University Press
- Publication year
- 2008
- Condition
- Gut
- Binding
- Broschur, Gr.-8°
- Language
- English
- ISBN 10
- 0521348331
- ISBN 13
- 9780521348331
- Edition
- 1.
- Item weight
- 590 grams
- Series
- Book 108 of 387: London Mathematical Society Lecture Notes
- Seller catalogs
- Mathematik
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"...contains a rich collection of concrete examples and exercises. It may be useful both as a reference book and as a texbook." Mathematical Reviews
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ANTIQUARIAT Franke BRUDDENBOOKS
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