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Free Ideal Rings And Localization In General Rings P M Cohn

  • SKU: BELL-1006692
Free Ideal Rings And Localization In General Rings P M Cohn
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Free Ideal Rings And Localization In General Rings P M Cohn instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 2.31 MB
Pages: 596
Author: P. M. Cohn
ISBN: 9780511226274, 9780521853378, 0511226276, 0521853370
Language: English
Year: 2006

Product desciption

Free Ideal Rings And Localization In General Rings P M Cohn by P. M. Cohn 9780511226274, 9780521853378, 0511226276, 0521853370 instant download after payment.

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. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention.

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