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: Selected Works of A.I. Shirshov
  name:
    name part: Bokut, Leonid.
    role:
      role term: editor.
  name:
    name part: Shestakov, Ivan.
    role:
      role term: editor.
  name:
    name part: Latyshev, Victor.
    role:
      role term: editor.
  name:
    name part: Zelmanov, Efim.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VII, 242 p. online resource.
  abstract: This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921–1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His name is associated with notions and results on Gröbner-Shirshov bases, the Composition-Diamond Lemma, the Shirshov-Witt Theorem, the Lazard-Shirshov elimination process, Shirshov’s Height Theorem, Lyndon-Shirshov words, Hall-Shirshov bases, Shirshov’s theorem on the Kurosh problem for alternative and Jordan algebras, and Shirshov’s theorem on the speciality of Jordan algebras with two generators. Shirshov’s ideas were used by his student Efim Zelmanov for the solution of the Restricted Burnside Problem. Several famous algebraists provide in this book detailed comments on the impact of Shirshov’s work on current algebra.
  table of contents: Publications of A.I. Shirshov -- Subalgebras of Free Lie Algebras -- On the Representation of Lie Rings in Associative Rings -- Subalgebras of Free Commutative and Free Anticommutative Algebras -- On Special J-rings -- Some Theorems on Embedding of Rings -- On some Nonassociative Nil-rings and Algebraic Algebras -- On Rings with Identical Relations -- On Free Lie Rings -- On a Problem of Levitzki -- Some Problems in the Theory of Rings that are Nearly Associative -- On the Bases of a Free Lie Algebra -- Some Algorithmic Problems for ?-algebras -- Some Algorithmic Problems for Lie Algebras -- On a Hypothesis in the Theory of Lie Algebras -- On Some Groups which are Nearly Engel -- On Some Identical Relations for Algebras -- On Some Positively Definable Varieties of Groups -- On the Definition of the Binary-Lie Property -- On the Theory of Projective Planes -- Commentaries -- Perspectives on Shirshov’s Height Theorem -- On Shirshov’s Papers for Lie Algebras -- Some of A.I. Shirshov’s works -- Comments on Shirshov’s Height Theorem -- A.I. Shirshov’s Works on Alternative and Jordan Algebras -- A Word about the Teacher.
  note: edited by Leonid Bokut, Ivan Shestakov, Victor Latyshev, Efim Zelmanov.
  subject:
    topic: Mathematics
  subject:
    topic: History
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics, general
  subject:
    topic: History of Mathematical Sciences
  classification: QA1-939
  classification: 510
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Contemporary Mathematicians
  identifier: 9783764388584
  identifier: http://dx.doi.org/10.1007/978-3-7643-8858-4
  record info:
    record creation date: 100301
    record change date: 20151204152448.0
    record identifier: 978-3-7643-8858-4