Model Theory and Modules

✍ Scribed by M. Prest

Publisher: Cambridge University Press
Year: 1988
Tongue: English
Leaves: 388
Series: London Mathematical Society lecture note series 130
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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 intriguing results. This self-contained introduction to the subject introduces the requisite model theory and module theory as it is needed. It then develops the basic ideas of determining what can be said about modules using the information that may be expressed in 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.

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