Kniha Valued Fields Antonio J. Engler

Valued Fields

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
139.31
Absolute values and their completions -like the p-adic number fields- play an important role in numb...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2005
Stránok
208
EAN
9783540242215
ISBN
354024221X
Enbook ID
02108000
Hmotnosť
494
Rozmery
155 x 235 x 16

Kompletný popis

Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization.In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra. 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.

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