Valued Fields

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  • Valued Fields Book Detail

  • Author : Antonio J. Engler
  • Release Date : 2005-12-28
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 210
  • ISBN 13 : 354030035X
  • File Size : 50,50 MB

Valued Fields by Antonio J. Engler PDF Summary

Book Description: 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.

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Valued Fields

Valued Fields

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Absolute values and their completions – such as the p-adic number fields – play an important role in number theory. Krull's generalization of absolute value

Multi-Valued Fields

Multi-Valued Fields

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For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results inclu