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Free Ideal Rings and Localization in General Rings
P. M. Cohn, "Free Ideal Rings and Localization in General Rings"
Cambridge University Press 2006 | ISBN-10: 0521853370 | 594 Pages | PDF | 2,3 MB
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.
http://depositfiles.com/en/files/yux2f4d75
===========
Free Ideal Rings and Localization in General Rings
P. M. Cohn, "Free Ideal Rings and Localization in General Rings"
Cambridge University Press 2006 | ISBN-10: 0521853370 | 594 Pages | PDF | 2,3 MB
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.
http://depositfiles.com/en/files/yux2f4d75
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