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An Introduction to Rings and Modules on Hardback by A.J. Berrick
An Introduction to Rings and Modules on Hardback by A.J. Berrick
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An Introduction to Rings and Modules

With K-Theory in View
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Description

This is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules over various types of ring: noncommutative polynomial rings, Artinian rings (both semisimple and not), and Dedekind domains. It also shows how Dedekind domains arise in number theory, and explicitly calculates some rings of integers and their class groups. About 200 exercises complement the text and introduce further topics. This book provides the background material for the authors' companion volume Categories and Modules, soon to appear. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number theory.
Release date Australia
May 1st, 2000
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
284
Dimensions
152x229x19
ISBN-13
9780521632744
Product ID
2011787

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