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: Exercises in Classical Ring Theory
  name:
    name part: Lam, T. Y.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2003
    edition: Second Edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XX, 364 p. online resource.
  abstract: " This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses "the folklore of the subject: the 'tricks of the trade' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference". The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. " (T. W. Hungerford, Mathematical Reviews).
  table of contents: Wedderburn-Artin Theory -- Jacobson Radical Theory -- to Representation Theory -- Prime and Primitive Rings -- to Division Rings -- Ordered Structures in Rings -- Local Rings, Semilocal Rings, and Idempotents -- Perfect and Semiperfect Rings.
  note: by T. Y. Lam.
  subject:
    topic: Mathematics
  subject:
    topic: Associative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Commutative algebra
  subject:
    topic: Commutative rings
  subject:
    topic: Mathematics
  subject:
    topic: Commutative Rings and Algebras
  subject:
    topic: Associative Rings and Algebras
  classification: QA251.3
  classification: 512.44
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Problem Books in Mathematics
  identifier: 9780387217710
  identifier: http://dx.doi.org/10.1007/b97448
  record info:
    record creation date: 100301
    record change date: 20151204182449.0
    record identifier: 978-0-387-21771-0