**MathSchoolinternational** contain thousands of
**Mathematics Free Books** and
**Physics Free Books**. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
**Best Free Math Websites** for teachers and students.

Here is extisive list of
**Module Theory Books **. We hope students and teachers like these **textbooks**, notes and solution manuals.

**Share this page:-**

We need Your Support, Kindly Share this Web Page with Other Friends

**Congratulations, the link is avaliable for free download.**

**About this book :- **
**Model Theoretic Algebra (with particular emphasis on Fields, Rings, Modules) ** written by
** Christian Jensen, Helmut Lenzing**.

Many branches of algebra are linked by the theory of modules since the notion of a module is obtained essentially by modest generalization of that of a vector space, it is surprising that it plays an important role in the theory of linear algebra. Modules are also of great importance in the higher reaches of group theory and ring theory and fundamental to the study of advanced topics such as homological algebra, category theory, and algebraic topology. The aim of this text is to develop the basic properties of modules and to show their importance in the theory of linear algebra.

The first part, which comprises Section 1 to 11 is intended as a self contained course for first year honours students. The second part of the text, comprising Sections 12 to 17, may be considered as such a course.

**Book Detail :- **
** Title: ** Model Theoretic Algebra (with particular emphasis on Fields, Rings, Modules)
** Edition: **
** Author(s): ** Christian U. Jensen, Helmut Lenzing
** Publisher: ** Oxford University Press
** Series: **
** Year: ** 1977
** Pages: ** 410
** Type: ** PDF
** Language: ** English
** ISBN: ** 0198531621
** Country: **
** Get this book from Amazon**

**Join our new updates, alerts:-**

For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).

Join WhatsApp Group

Join Telegram Group

**Book Contents :- **
**Module Theory: An Approach to Linear Algebra ** written by
** T.S. Blyth**
cover the following topics.

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

A. Basic notions and definitions from homological algebra

B. Functor categories on finitely presented modules

C. Glossary of some basic notions in ring and module theory

Bibliography

**Note:-**

We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn. If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS. Thank you.

?1

?2

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis