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Valued Fields by Antonio J. Engler, Alexander Prestel - Paperback
580.28 AED

Valued Fields by Antonio J. Engler, Alexander Prestel - Paperback

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Category Type
Mathematics
ISBN
9783642063459
Author
Antonio J. Engler, Alexander Prestel
Publisher
Springer
Description:

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 ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642063459
    Languages
    English
    Item EAN
    2724437186479
    People
    Author
    Antonio J. Engler, Alexander Prestel
    Category Type
    Mathematics
    ISBN
    9783642063459
    Languages
    English
    Item EAN
    2724437186479
    People
    Author
    Antonio J. Engler, Alexander Prestel
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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

    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.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Antonio J. Engler, Alexander Prestel
    • Publisher: Springer
    • ISBN: 9783642063459
    • Number of Pages: 208
    • Dimensions: 9.21 x 6.14 x 0.46 inches
 

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