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: Ideals and Reality
    sub title: Projective Modules and Number of Generators of Ideals
  name:
    name part: Ischebeck, Friedrich.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Rao, Ravi A.
    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: XIV, 336 p. online resource.
  abstract: This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture. The central topic of the book is the question of whether a curve in $n$-space is as a set an intersection of $(n-1)$ hypersurfaces, depicted by the central theorems of Ferrand, Szpiro, Cowsik-Nori, Mohan Kumar, Boratýnski. The book gives a comprehensive introduction to basic commutative algebra, together with the related methods from homological algebra, which will enable students who know only the fundamentals of algebra to enjoy the power of using these tools. At the same time, it also serves as a valuable reference for the research specialist and as potential course material, because the authors present, for the first time in book form, an approach here that is an intermix of classical algebraic K-theory and complete intersection techniques, making connections with the famous results of Forster-Swan and Eisenbud-Evans. A study of projective modules and their connections with topological vector bundles in a form due to Vaserstein is included. Important subsidiary results appear in the copious exercises. Even this advanced material, presented comprehensively, keeps in mind the young student as potential reader besides the specialists of the subject.
  note: by Friedrich Ischebeck, Ravi A. Rao.
  subject:
    topic: Mathematics
  subject:
    topic: Nonassociative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Mathematics
  subject:
    topic: Non-associative Rings and Algebras
  classification: QA252-252.5
  classification: 512.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Monographs in Mathematics
  identifier: 9783540263708
  identifier: http://dx.doi.org/10.1007/b137484
  record info:
    record creation date: 100301
    record change date: 20151116132350.0
    record identifier: 978-3-540-26370-8