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Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules (Algebra, Logic and Applications, Vol 2) by Christian U. Jensen and Helmut Lenzing is a nonfiction available to read on EtoBox.
What is Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules (Algebra, Logic and Applications, Vol 2) about?
1 online resource (464 pages) This volume highlights the links between model theory and algebra. The work contains a definitive account of algebraically compact modules, a topic of central importance for both module and model theory. Using concrete examples, particular emphasis is given to model theoretic concepts, such as axiomizability. Pure mathematicians, especially algebraists, ring theorists, logicians, model theorists and representation theorists, should find this an absorbing and stimulating book Introduction, ultraproducts, definitions and examples; elementary equivalence - axiomatizable and finitely axiomatizable classes - examples and results in field theory; elementary definability - applications to polynomial and power series rings and their quotient fields; peano rings and peano fields; hilbertian fields and realizations of finite groups as galois groups; the language of modules over a fixed ring; algebraically compact modules; decompositions and algebraic compactness; the two sorted language of modules over unspecified rings; the first order theory of rings; pure global dimension and algebraically compact rings; representation theory of finite dimensional algebras; p
Who reads Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules (Algebra, Logic and Applications, Vol 2)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Christian U. Jensen and Helmut Lenzing
- Publisher
- [Place of publication not identified]: Routledge
- Published
- 1989
- Language
- EN
- ISBN
- 9781351431101
- Category
- nonfiction
- Subjects
- Mathematics, Stem
Other editions & translations
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