An Introduction to Rings and Modules 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Berrick, A. J./ Keating, M. E. 作者

Cambridge Univ Pr

译者

2000-5 出版日期

284 页数

$ 113.00 价格

HRD

丛书系列

9780521632744 图书编码

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An Introduction to Rings and Modules 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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