{
"item_title" : "Free Ideal Rings and Localization in General Rings",
"item_author" : [" P. M. Cohn "],
"item_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.",
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Overview
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.
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Details
- ISBN-13: 9780521853378
- ISBN-10: 0521853370
- Publisher: Cambridge University Press
- Publish Date: June 2006
- Dimensions: 9 x 6 x 1.4 inches
- Shipping Weight: 2.1 pounds
- Page Count: 594
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