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: Graded Syzygies
  name:
    name part: Peeva, Irena.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 304 p. online resource.
  abstract: The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuition about syzygies and Hilbert functions. Many examples are given in order to illustrate ideas and key concepts. A valuable feature of the book is the inclusion of open problems and conjectures; these provide a glimpse of exciting, and often challenging, research directions in the field. Three types of problems are presented: Conjectures, Problems, and Open-Ended Problems. The latter do not describe specific problems but point to interesting directions for exploration. The first part of the monograph contains basic background material on graded free resolutions. Further coverage of topics includes syzygies over a polynomial ring, resolutions over quotient rings, lex ideals and Hilbert functions, compression, resolutions of monomial ideals, and syzygies of toric ideals. With a clear and self-contained exposition this text is intended for advanced graduate students and postdoctorates; it will be also of interest to senior mathematicians.
  table of contents: Graded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals.
  note: by Irena Peeva.
  subject:
    topic: Mathematics
  subject:
    topic: Commutative algebra
  subject:
    topic: Commutative rings
  subject:
    topic: Mathematics
  subject:
    topic: Commutative Rings and Algebras
  classification: QA251.3
  classification: 512.44
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Algebra and Applications ; 14
  identifier: 9780857291776
  identifier: http://dx.doi.org/10.1007/978-0-85729-177-6
  record info:
    record creation date: 101127
    record change date: 20151204161922.0
    record identifier: 978-0-85729-177-6