Introduction to Ring Theory

  • P. M. Cohn

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-x
  2. P. M. Cohn
    Pages 1-2
  3. P. M. Cohn
    Pages 7-52
  4. P. M. Cohn
    Pages 53-101
  5. P. M. Cohn
    Pages 103-133
  6. P. M. Cohn
    Pages 135-173
  7. P. M. Cohn
    Pages 175-202
  8. Back Matter
    Pages 203-229

About this book

Introduction

Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject.
After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.

Keywords

Group theory SUMS Vector space algebra ring theory

Authors and affiliations

  • P. M. Cohn
    • 1
  1. 1.Department of MathematicsUniversity College LondonLondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0475-9
  • Copyright Information P.M.Cohn.FRS 2000
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-206-8
  • Online ISBN 978-1-4471-0475-9
  • Series Print ISSN 1615-2085
  • About this book