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Preliminaries

  • F. E. A. JohnsonEmail author
Chapter
  • 961 Downloads
Part of the Algebra and Applications book series (AA, volume 17)

Abstract

Many of the arguments in this book are formulated in terms of modules over the group ring Z[G] where G is a specified fundamental group. Thus, in part, this book is concerned with the general theory of modules and so, by association, with the general theory of rings. Given the pathology of which the subject is capable there is a tendency, frequently indulged in the literature, to present Ring Theory as a menagerie of wild beasts with strange and terrifying properties. Regardless of appearances that is not our aim here. The rings we consider are comparatively well behaved. However, in order to explain quite how well behaved we are forced to discuss a small amount of pathology if only to say what delinquencies we need not tolerate.

Keywords

Group Ring Projective Module Free Module Height Function Stable Module 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity College LondonLondonUK

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