Carte Valued Fields Antonio J. Engler

Valued Fields

Limbă: engleză
Legare: Carte broșată
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
774.09 lei
Absolute values and their completions -like the p-adic number fields- play an important role in numb...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2010
Pagini
208
EAN
9783642063459
ISBN
3642063454
Enbook ID
02108292
Greutate
352
Dimensiuni
233 x 155 x 17

Descriere completă

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 -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.Absolute values and their completions such as the p-adic number fields play an important role in number theory. Krull's generalization of absolute values to valuations made possible applications in other branches of mathematics. In valuation theory, the notion of completion must be replaced by that of "Henselization". This book develops the theory of valuations as well as of Henselizations, based on the skills of a standard graduate course in algebra.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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