rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Valued Fields
  name:
    name part: Engler, Antonio J.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Prestel, Alexander.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 208 p. online resource.
  abstract: 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.
  table of contents: Absolute Values -- Valuations -- Extension of Valuations -- Henselian Fields -- Structure Theory -- Applications of Valuation Theory.
  note: by Antonio J. Engler, Alexander Prestel.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Algebraic geometry
  subject:
    topic: Mathematical logic
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Number Theory
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Mathematical Logic and Foundations
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Monographs in Mathematics
  identifier: 9783540300359
  identifier: http://dx.doi.org/10.1007/3-540-30035-X
  record info:
    record creation date: 100301
    record change date: 20151116133006.0
    record identifier: 978-3-540-30035-9