Free Ideal Rings and Localization in General Rings
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Free Ideal Rings and Localization in General Rings by P M Cohn
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. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.
'This book presents the theory of free ideal rings (firs) in detail' L'enseignement mathematique
Paul Cohn is a Emeritus Professor of Mathematics at the University of London and Honorary Research Fellow at University College London.
| SKU | Unavailable |
| ISBN 13 | 9780521853378 |
| ISBN 10 | 0521853370 |
| Title | Free Ideal Rings and Localization in General Rings |
| Author | P M Cohn |
| Series | New Mathematical Monographs |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2006-06-08 |
| Number of pages | 594 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |