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Free Ideal Rings and Localization in General Rings (New Mathematical Monographs) Book
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Product Description
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.
- 0521853370
- 9780521853378
- P. M. Cohn
- 8 June 2006
- Cambridge University Press
- Hardcover (Book)
- 594
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