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: Introduction to Noncommutative Algebra
  name:
    name part: Brešar, Matej.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXXVII, 199 p. online resource.
  abstract: Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.
  table of contents: Finite Dimensional Division Algebras -- Structure of Finite Dimensional Algebras -- Modules and Vector Spaces -- Tensor Products -- Structure of Rings -- Noncommutative Polynomials -- Rings of Quotients and Structure of PI-Rings.
  note: by Matej Brešar.
  subject:
    topic: Mathematics
  subject:
    topic: Associative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Mathematics
  subject:
    topic: Associative Rings and Algebras
  classification: QA251.5
  classification: 512.46
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9783319086934
  identifier: http://dx.doi.org/10.1007/978-3-319-08693-4
  record info:
    record creation date: 141013
    record change date: 20151029191150.0
    record identifier: 978-3-319-08693-4