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About Free Ideal Rings and Localization in General Rings
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.
Detailed Information
| Author: | P. M. Cohn |
|---|---|
| Publication Year: | 2006 |
| ISBN: | 9780521853378 |
| Pages: | 596 |
| Language: | English |
| File Size: | 2.755 |
| Format: | |
| Price: | FREE |
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