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Algebraic Structures
George R. Kempf, Johns Hopkins University, Baltimore, MD
A publication of Vieweg+Teubner.
Vieweg Monographs
1995; 165 pp; softcover
ISBN-10: 3-528-06583-4
ISBN-13: 978-3-528-06583-6
List Price: US$45
Member Price: US$40.50
Order Code: VW/3
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In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition--the basic operations of algebra--are studied. Essentially no previous knowledge is required; it is only assumed as background that the reader has learned some linear algebra over the real numbers.

A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.


Table of Contents

  • Introduction
  • Fundamentals of groups
  • Fundamentals of rings and fields
  • Modules
  • A little more group theory
  • Fields
  • More field theory
  • Modern linear algebra
  • Quadratic and alternating forms
  • Ring and field extensions
  • Noetherian rings and localization
  • Dedekind domains
  • Representations of groups
  • More modules
  • Categories
  • Completion
  • Lie algebra
  • The Clifford algebra
  • Commutative rings
  • Logic
  • Tor's
  • Glossary
  • Index
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