An Introduction to Rings and Modules by A J Berrick

An Introduction to Rings and Modules by A J Berrick

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Summary

This book, first published in 2000, 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. About 200 exercises complement the text and introduce further topics.

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An Introduction to Rings and Modules by A J Berrick

This book, first published in 2000, 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.
' an excellent concise introduction to the theory of rings and modules 'Tong Wenting, Zentralblatt MATH
SKU Unavailable
ISBN 13 9780521632744
ISBN 10 0521632749
Title An Introduction to Rings and Modules
Author A J Berrick
Series Cambridge Studies In Advanced Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Cambridge University Press
Year published 2000-05-01
Number of pages 284
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable