Download EBOOK Free Ideal Rings and Localization in General Rings PDF for free


Download EBOOK Free Ideal Rings and Localization in General Rings PDF for free Category: Science & Geography
The author of the book: P. M. Cohn
Format files: PDF, EPUB, TXT, DOCX
The size of the: 328 KB
Language: English
ISBN-13: 9780521853378
Edition: CAMBRIDGE UNIVERSITY PRESS
Date of issue: 31 July 2006

Description of the book "Free Ideal Rings and Localization in General Rings":

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 PDF 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.

Download EBOOK Free Ideal Rings and Localization in General Rings PDF for free


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P. M. Cohn

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Download EBOOK Free Ideal Rings and Localization in General Rings PDF for free



Download EBOOK Free Ideal Rings and Localization in General Rings for free

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