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: Computational aspects of polynomial identities
  title info:
    title: MATHnetBASE
  name:
    name part: Kanel-Belov, Alexei
    role:
      role term: creator
    role:
      role term: eauthor.
  name:
    name part: Rowen, Louis Halle
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  name:
    name part: Taylor and Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2005
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (400 pages).
  abstract: A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation. The authors also cover codimension theory, starting with Regev's theorem and continuing through the Giambruno-Zaicev exponential rank. The "best" proofs of classical results, such as the existence of central polynomials, the tensor product theorem, the nilpotence of the radical of an affine PI-algebra, Shirshov's theorem, and characterization of group algebras with PI, are presented.
  table of contents: chapter 1 Basic Results -- chapter 2 Affine Pl-algebras -- chapter 3 T-ldeals and Relatively Free Algebras -- chapter 4 Specht's Problem in the Affine Case -- chapter 5 Representations of Sn and Their Applications -- chapter 6 Superidentities and Kemer's Main Theorem -- chapter 7 Pl-Algebras in Characteristic p -- chapter 8 Recent Structural Results -- chapter 9 Poincare-Hilbert Series and Gelfand-Kirillov Dimension -- chapter 10 More Representation Theory -- chapter 11 Unified Theory of Identities -- chapter 12 Trace Identities -- chapter 13 Exercises -- chapter 14 Lists of Theorems and Examples -- chapter 15 Some Open Questions.
  note: by Alexei Kanel-Belov and Louis Halle Rowen.
  subject:
    topic: Algebra
    topic: Data processing
  classification: QA155.7.E4
  classification: 512
  related item:
    title info:
      title: Research notes in mathematics series
  identifier: 9780429064777
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 180611
    record change date: 20220613175820.1
    record identifier: in00004581143