Free Ideal Rings and Localization in General Rings

Name: Free Ideal Rings and Localization in General Rings
Brand: Cambridge University Press
SKU: 9780521853378
Price: 4534.00 INR
Availability: InStock

by P. M. Cohn

Cambridge University Press

₹4,534

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From the publisher

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.

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