LMS: 130 Model Theory and Modules (London Mathematical Society Lecture Note Series)

M. Prest

ISBN 10: 0521348331 / ISBN 13: 9780521348331

Published by Cambridge University Press 2008-08-21, 2008

About this Item

Seller Inventory # 6666-IUK-9780521348331

Bibliographic Details

• Title: LMS: 130 Model Theory and Modules (London Mathematical Society Lecture Note Series)
• Publisher: Cambridge University Press 2008-08-21
• Publication Date: 2008
• Language: English
• ISBN 10: 0521348331
• ISBN 13: 9780521348331
• Binding: Paperback
• Condition: New

About this title

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.

Review

"...absolutely essential to anyone with any interest in the subject matter, because of its comprehensiveness, currency, well-written style, and extensive bibliographical references." Journal of Symbolic Logic

"...contains a rich collection of concrete examples and exercises. It may be useful both as a reference book and as a texbook." Mathematical Reviews