Algebra
Theory of Classical Valuations
Author:
Ribenhoim, Paulo
Isbn 13:
9780387985251
ISBN: 0387985255
Pub Date:
May 1, 1999
Publisher:
Springer Verlag
Shipping Weight: 1.51 pounds
Status:
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Yellow Sale Price: $49.50
Quantum Price: $79.20
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In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced local methods. They are concerned with divisibility of ideal numbers of cyclotomic fields by lambda = 1 - psi where psi is a primitive p-th root of 1 (p any odd prime). Henssel developed Kummer's ideas, constructed the field of p-adic numbers and proved the fundamental theorem known today. Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the p-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory and collectively, these topics form the primary focus of this book.
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