Lie Algebras and Nonassociative Algebra

  • Igor R. Shafarevich
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 11)


Natural and important algebraic systems having all the properties of rings with the exception of the associativity of multiplication appeared very long ago, although the algebraic nature of these objects did not immediately become apparent.


Division Algebra Nonassociative Algebra Bracket Operation Cayley Number Order Linear Differential Operator 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Igor R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteRussian Academy of ScienceMoscowRussia

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