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  3. Model Theory and Modules
  • Cited by 137
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    • Publisher:
      Cambridge University Press
      Publication date:
      December 2009
      February 1988
      ISBN:
      9780511600562
      9780521348331
      DOI:
      https://doi.org/10.1017/CBO9780511600562
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.59kg, 400 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets
      Series:
      London Mathematical Society Lecture Note Series (130)
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    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets
    Series:
    London Mathematical Society Lecture Note Series (130)
    Information

    Book 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.

    Reviews

    "...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

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