libcats.org
Главная

Lectures On Formally Real Fields

Обложка книги Lectures On Formally Real Fields

Lectures On Formally Real Fields

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 aquired 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.

Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Contemporary Theatre, Film and Television, Volume 97

Автор:
Размер книги: 3.18 Mb
Только что пользователи скачали эти книги:

Mirror symmetry

Автор: , Автор: , Автор: , Автор: , Автор: , Автор: , Автор: , Автор: , Автор:
Категория: Mathematics, Mathematical physics
Размер книги: 11.21 Mb

Problems in applied mathematics

Автор:
Категория: Numerical methods
Размер книги: 5.94 Mb

Thin-Film Transistors

Автор: , Автор:
Размер книги: 4.51 Mb

Robinson Crusoe Written Anew for Children

Автор:
Размер книги: 2.23 Mb