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: Algebras, Rings and Modules
  name:
    name part: Hazewinkel, Michiel.
    role:
      role term: editor.
  name:
    name part: Gubareni, Nadiya.
    role:
      role term: editor.
  name:
    name part: Kirichenko, V.V.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ne
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 400 p. online resource.
  abstract: As a natural continuation of the first volume of Algebras, Rings and Modules, this book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. Detailed attention is given to special classes of algebras and rings including Frobenius, quasi-Frobenius, right serial rings and tiled orders using the technique of quivers. The most important recent developments in the theory of these rings are examined. The Cartan Determinant Conjecture and some properties of global dimensions of different classes of rings are also given. The last chapters of this volume provide the theory of semiprime Noetherian semiperfect and semidistributive rings. Of course, this book is mainly aimed at researchers in the theory of rings and algebras but graduate and postgraduate students, especially those using algebraic techniques, should also find this book of interest.
  table of contents: Groups and group representations -- Quivers and their representations -- Representations of posets and of finite dimensional algebras -- Frobenius algebras and quasi-Frobenius rings -- Right serial rings -- Tiled orders over discrete valuation rings -- Gorenstein matrices.
  note: edited by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko.
  subject:
    topic: Mathematics
  subject:
    topic: Associative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Category theory (Mathematics)
  subject:
    topic: Homological algebra
  subject:
    topic: Commutative algebra
  subject:
    topic: Commutative rings
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Mathematics
  subject:
    topic: Associative Rings and Algebras
  subject:
    topic: Category Theory, Homological Algebra
  subject:
    topic: Commutative Rings and Algebras
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  classification: QA251.5
  classification: 512.46
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Mathematics and Its Applications ; 586
  identifier: 9781402051418
  identifier: http://dx.doi.org/10.1007/978-1-4020-5141-8
  record info:
    record creation date: 100301
    record change date: 20151204160929.0
    record identifier: 978-1-4020-5141-8