Free Ideal Rings and Localization in General Rings pdf epub mobi txt 電子書下載 2024

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Cohn, P. M.

Cambridge Univ Pr

2006-6

594

$ 255.38

HRD

New Mathematical Monographs

9780521853378

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发表于2024-09-20

Free Ideal Rings and Localization in General Rings epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Free Ideal Rings and Localization in General Rings pdf epub mobi txt 電子書下載 2024

圖書描述

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 下載 mobi epub pdf txt 電子書