Advertisement

A Course in Commutative Algebra

  • Gregor Kemper

Part of the Graduate Texts in Mathematics book series (GTM, volume 256)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Gregor Kemper
    Pages 1-4
  3. The Algebra–Geometry Lexicon

    1. Front Matter
      Pages 5-5
    2. Gregor Kemper
      Pages 7-21
    3. Gregor Kemper
      Pages 23-32
    4. Gregor Kemper
      Pages 33-44
    5. Gregor Kemper
      Pages 45-48
  4. Dimension

    1. Front Matter
      Pages 49-49
    2. Gregor Kemper
      Pages 51-61
    3. Gregor Kemper
      Pages 63-73
    4. Gregor Kemper
      Pages 75-91
    5. Gregor Kemper
      Pages 93-114
  5. Computational Methods

    1. Front Matter
      Pages 115-115
    2. Gregor Kemper
      Pages 117-136
    3. Gregor Kemper
      Pages 137-150
    4. Gregor Kemper
      Pages 151-164
  6. Local Rings

    1. Front Matter
      Pages 165-165
    2. Gregor Kemper
      Pages 167-179
    3. Gregor Kemper
      Pages 181-196
    4. Gregor Kemper
      Pages 197-216
  7. Back Matter
    Pages 217-246

About this book

Introduction

This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.

Keywords

Gröbner bases MSC (2000): Primary 13-XX, Secondary 14-XX commutative algebra commutative rings local rings

Authors and affiliations

  • Gregor Kemper
    • 1
  1. 1.Zentrum Mathematik - M11Technische UniversitätGarchingGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-03545-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-03544-9
  • Online ISBN 978-3-642-03545-6
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site