Other available formats:
Looking for an examination copy?
If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact firstname.lastname@example.org providing details of the course you are teaching.
The central aim of this book 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, localization is an ever-present theme and various types of spectrum play organizing 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.Read more
- Inclusion of relevant background material makes this suitable as an introduction for postgraduate students and researchers from other areas
- Compiles a wide range of methods and results, some of which are previously unpublished, into one single, accessible source
- Contains an extensive index, a detailed table of contents and thorough internal referencing
Reviews & endorsements
"Prest's book is encyclopedic in scope. It will certainly serve as the bible of model theory of modules for years to come. However, it is also a book of examples: the interested reader can start with a very concrete example and watch how, as the book develops, this example treads on more and more abstract notions."
Gena Puninski, Mathematical Reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: July 2009
- format: Hardback
- isbn: 9780521873086
- length: 798 pages
- dimensions: 240 x 164 x 45 mm
- weight: 1.35kg
- availability: In stock
Table of Contents
Part I. Modules:
1. Pp conditions
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
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
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
Welcome to the resources site
Here you will find a range of free-of-charge teaching and learning materials for students and instructors using this textbook. These resources form an integral part of the teaching package, and provided tailored materials that save instructors' time and enhance student learning.
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
*This title has one or more locked files and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.
These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.
If you are having problems accessing these resources please email email@example.com
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×