Free Ideal Rings and Localization in General Rings (English, P. M. Cohn)
by P. M. Cohn
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Book Details
Publisher
Cambridge University Press
Language
English
ISBN-13
9780521853378
ISBN-10
0521853370
Author
P. M. Cohn
About the Book
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 detai…
ISBN: 9780521853378
ISBN-13: 9780521853378
ISBN-10: 0521853370
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Product ID: isbn-9780521853378
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