Free Ideal Rings and Localization in General Rings (Hardcover) (ISBN-13: 9780521853378)

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.

Author: P. M. Cohn
ISBN-10: 0521853370
ISBN-13: 9780521853378
Publisher: Cambridge University Press
Language: English
Published: 07/03/2006
Pages: 594
Format: Hardcover
Weight: 2.10lbs
Size: 9.00h x 6.00w x 1.40d