An Introduction to Rings and Modules 2024 pdf epub mobi 电子书

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发表于2024-12-29

An Introduction to Rings and Modules 2024 pdf epub mobi 电子书

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出版者:Cambridge Univ Pr

作者:Berrick, A. J./ Keating, M. E.

出品人:

页数:284

译者:

出版时间:2000-5

价格:$ 113.00

装帧:HRD

isbn号码:9780521632744

丛书系列:

图书标签: 数学 Rings Modules 代数 to in and With

An Introduction to Rings and Modules 2024 pdf epub mobi 电子书图书描述

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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