Valued Fields

Häftad, Engelska, 2010

Av Antonio J. Engler, Alexander Prestel

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Absolute values and their completions -like the p-adic number fields- play an important role in number theory. The last chapter presents three applications of the general theory -for instance to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.

Produktinformation

Utgivningsdatum2010-10-21
Mått155 x 235 x 17 mm
Vikt352 g
FormatHäftad
SpråkEngelska
SerieSpringer Monographs in Mathematics
Antal sidor208
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642063459

Tillhör följande kategorier

Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Talteori inom Naturvetenskap och teknik
Matematikens grunder inom Naturvetenskap och teknik

From the reviews: "The book starts with the basic notion of absolute values followed by a comprehensive introduction to the theory of Krull valuations of arbitrary rank leading eventually to some deep results of recent research. ... A useful feature of the book are its two appendices dealing with classification of V-topologies and ultraproducts of valued fields. The concise style and choice of material makes this book a wonderful reading. It is a unique, original exposition full of valuable insights." (Sudesh Kaur Khanduja, Zentralblatt MATH, Vol. 1128 (6), 2008)