• Title of article

    Speciality of Malcev superalgebras on one odd generator

  • Author/Authors

    Ivan Shestakov، نويسنده , , Natalia Zhukavets، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    14
  • From page
    587
  • To page
    600
  • Abstract
    It is proved that every Malcev superalgebra generated by an odd element is special, that is, isomorphic to a subsuperalgebra of the commutator Malcev superalgebra A− for a certain alternative superalgebra A. As a corollary, it is shown that the kernel of the natural homomorphism of the free Malcev algebra Malc[X] of countable rank into the commutator Malcev algebra Alt[X]− of the corresponding free alternative algebra Alt[X], does not contain skew-symmetric multilinear elements. In other words, there are no skew-symmetric Malcev s-identities. Another corollary is speciality of the Malcev Grassmann algebra.
  • Journal title
    Journal of Algebra
  • Serial Year
    2006
  • Journal title
    Journal of Algebra
  • Record number

    697578