Vieweg Monographs 1995; 165 pp; softcover ISBN10: 3528065834 ISBN13: 9783528065836 List Price: US$45 Member Price: US$40.50 Order Code: VW/3
 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 compositionthe basic operations of algebraare 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. Readership 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
