Categories and Modules with K-Theory in View 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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A. J. Berrick 作者

Cambridge University Press

译者

2000-6-26 出版日期

380 页数

USD 115.00 价格

Hardcover

丛书系列

9780521632768 图书编码

Categories and Modules with K-Theory in View 在线电子书图书标签: 数学

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Categories and Modules with K-Theory in View 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Categories and Modules with K-Theory in View 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Categories and Modules with K-Theory in View 在线电子书图书描述

This book, first published in 2000, develops aspects of category theory fundamental to the study of algebraic K-theory. Ring and module theory illustrates category theory which provides insight into more advanced topics in module theory. Starting with categories in general, the text then examines categories of K-theory. This leads to the study of tensor products and the Morita theory. The categorical approach to localizations and completions of modules is formulated in terms of direct and inverse limits, prompting a discussion of localization of categories in general. Finally, local-global techniques which supply information about modules from their localizations and completions and underlie some interesting applications of K-theory to number theory and geometry are considered. Many useful exercises, concrete illustrations of abstract concepts placed in their historical settings and an extensive list of references are included. This book will help all who wish to work in K-theory to master its prerequisites.

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