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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.
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Add Model Theory and Modules, Professor Prest is the first to address the topic of the development of the interplay between model theory and the theory of modules. In recent years the relationship between model theory and other branches of mathematics has led to many profound and intr, Model Theory and Modules to the inventory that you are selling on WonderClubX
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Add Model Theory and Modules, Professor Prest is the first to address the topic of the development of the interplay between model theory and the theory of modules. In recent years the relationship between model theory and other branches of mathematics has led to many profound and intr, Model Theory and Modules to your collection on WonderClub |