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- Autorius: P. M. Cohn
- Leidėjas: Cambridge University Press
- Metai: 2006
- ISBN: 9780511223068
- ISBN-10: 0511223064
- ISBN-13: 9780511223068
- Formatas: ACSM ?
- Kalba: Anglų
Free Ideal Rings and Localization in General Rings (el. knyga) (skaityta knyga) | knygos.lt
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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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- Autorius: P. M. Cohn
- Leidėjas: Cambridge University Press
- Metai: 2006
- ISBN: 9780511223068
- ISBN-10: 0511223064
- ISBN-13: 9780511223068
- Formatas: ACSM ?
- Kalba: Anglų
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.
Atsiliepimai