Model Theoretic Algebra with particular emphasis on Fields, Rings, Modules by Christian Jensen, Helmut Lenzing in pdf
this is the book Model Theoretic Algebra with particular emphasis on Fields, Rings, Modules in pdf written by Christian Jensen, Helmut Lenzing, published by Oxford University Press ,1977 of professors of science faculties universities .
Information about the book
Language of the book: English language
Book Title: Model Theoretic Algebra with particular emphasis on Fields, Rings, Modules
Scriptwriter: by Christian Jensen, Helmut Lenzing
Year of printing: Oxford University Press ,1977
File Format:PDF
Number of chapters: 13 CHAPTER
Number of chapters: 13 CHAPTER
Number of pages: 460 pages
File Size: 16,10 MB
Contents
1. Introduction. Ultraproducts. Definitions and examples
2. Elementary equivalence. Axiomatizable and finitely axiomatizable classes. Examples and results in field theory
3. Elementary definability. Applications to polynomial and series rings and their quotient fields power
4. Peano rings and Peano fields
5. Hilbertian fields and realizations of finite groups as Galois groups
6. The language of modules over a fixed ring
7. Algebraically compact modules
8. Decompositions and algebraic compactness
9. The two-sorted language of modules over unspecified rings
10. The first order theory of rings
11. Pure global dimension and algebraically compact rings
12. Representation theory of finite dimensional algebras
13. Problems
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