Model theory and modules
By: Mike Prest.
Series: London Mathematical Society lecture note series ;; 130
Publisher: Cambridge University Press
Published: 1988
Place of publication: Cambridge, England; New York
Language: eng
Number of pages: 380
Subjects: Model theory.; Modules (Algebra)
Description: In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time.
Notes: Bibliography: p. 351-369.
Includes indexes.