| Title:
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FREE IDEAL RINGS AND LOCALIZATION IN GENERAL RINGS
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| By: |
P. M. Cohn, Bela Bollobas, William Fulton |
| Format: |
Hardback |
| List price:
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£159.00 |
| Our price: |
£139.13 |
| Discount: |
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£19.87 |
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| ISBN 10: |
0521853370 |
| ISBN 13: |
9780521853378 |
| Availability: |
Usually dispatched within 1-3 weeks.
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| Stock: |
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| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
8 June, 2006 |
| Series: |
New Mathematical Monographs No. 3 |
| Pages: |
594 |
| Description: |
This book presents the theory of free ideal rings (firs) in detail. |
| Synopsis: |
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. |
| Illustrations: |
38 b/w illus. 864 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |