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Introduction to Ring Theory

  • Textbook
  • © 2000

Overview

Authors:
  1. P. M. Cohn

    1. Department of Mathematics, University College London, London, UK

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  • Paul Cohn is a well-known expositor and expert in the field
  • This book follows on from the SUMS book "Groups, Rings and Fields" by David Wallace
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • P. M. Cohn
    Pages 1-2

  3. Remarks on Notation and Terminology

    • P. M. Cohn
    Pages 3-6

  4. Basics

    • P. M. Cohn
    Pages 7-52

  5. Linear Algebras and Artinian Rings

    • P. M. Cohn
    Pages 53-101

  6. Noetherian Rings

    • P. M. Cohn
    Pages 103-133

  7. Ring Constructions

    • P. M. Cohn
    Pages 135-173

  8. General Rings

    • P. M. Cohn
    Pages 175-202

  9. Back Matter

    Pages 203-229
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, University College London, London, UK

    P. M. Cohn

Bibliographic Information

  • Book Title: Introduction to Ring Theory

  • Authors: P. M. Cohn

  • Series Title: Springer Undergraduate Mathematics Series

  • DOI: https://doi.org/10.1007/978-1-4471-0475-9

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: P.M.Cohn.FRS 2000

  • Softcover ISBN: 978-1-85233-206-8Published: 19 November 1999

  • eBook ISBN: 978-1-4471-0475-9Published: 06 December 2012

  • Series ISSN: 1615-2085

  • Series E-ISSN: 2197-4144

  • Edition Number: 1

  • Number of Pages: X, 229

  • Topics: Algebra

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