Free Ideal Rings and Localization in General Rings 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Cohn, P. M. 作者

Cambridge Univ Pr

译者

2006-6 出版日期

594 页数

$ 255.38 价格

HRD

New Mathematical Monographs 丛书系列

9780521853378 图书编码

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Free Ideal Rings and Localization in General Rings 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.

Free Ideal Rings and Localization in General Rings 在线电子书下载 mobi epub pdf txt 在线电子书下载

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