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: Multi-valued fields
  name:
    name part: Ershov, I︠U︡riĭ Leonidovich.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  language:
    language term: rus
  physical description:
    form: remote
    extent: 1 online resource (x, 270 pages)
  abstract: "The book deals with the theory of valued fields and multi-valued fields. The theory of Prufer rings is discussed from the "geometric" point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to distinguish two important subfamilies of the family of Prufer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and model-theoretic properties of multi-valued fields with near Boolean families of valuation rings satisfying the local-global principle are studied. It is important that this principle is elementary, i.e., it can be expressed in the language of predicate calculus. The most important results obtained in the book include a criterion for the elementarity of an embedding of a multi-valued field and a criterion for the elementary equivalence for multi-valued fields from the class defined by the additional natural elementary conditions (absolute unramification, maximality and almost continuity of local elementary properties). The book concludes with a brief chapter discussing the bibliographic references available on the material presented, and a short history of the major developments within the field."--BOOK JACKET.
  note: Yuri L. Ershov ; [translated from the Russian by Tamara Rozhkovskaya].
  note: Includes bibliographical references (pages 263-268) and index.
  subject:
    topic: Valued fields
  subject:
    topic: Valued fields
  classification: QA247 .E68 2001eb
  classification: 512/.74
  related item:
    title info:
      title: Multi-valued fields
    name:
      name part: Ershov, I︠U︡riĭ Leonidovich.
    identifier: (DLC) 2001029947
    identifier: (OCoLC)47002173
  related item:
    title info:
      title: Sibirskai͡a shkola algebry i logiki. English
  identifier: 9781461513070 (electronic bk.)
  identifier: 1461513073 (electronic bk.)
  identifier: 0306110687
  identifier: 9780306110689
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140711
    record change date: 20260422220409.0
    record identifier: in00003552003
    language of cataloging:
      language term: eng