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: Gorenstein Dimensions
  name:
    name part: Christensen, Lars W.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2000
    edition: 1st ed. 2000.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 210 p. online resource.
  abstract: This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods.
  table of contents: Introduction -- Synopsis -- Conventions and prerequisites -- The classical Gorenstein dimension -- G-dimension and reflexive complexes -- Auslander categories -- G-projectivity. - G-injectivity -- Appendix: Hyperhomology. Basic definitions and notation. Standard functors and morphisms. Resolutions. Almost derived functors. Homological dimensions. Depth and width. Numerical and formal invariants. Dualizing complexes.
  note: by Lars W. Christensen.
  subject:
    topic: Algebra
  subject:
    topic: K-theory
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: K-Theory
  subject:
    topic: Mathematics, general
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1747
  identifier: 9783540400080
  identifier: https://doi.org/10.1007/BFb0103980
  record info:
    record creation date: 121227
    record change date: 20190619063709.0
    record identifier: 978-3-540-40008-0