Browsing by Subject "Jordan"

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    • Generalized Jordan algebras 
      Hentzel, Irvin Roy; Labra, Alicia (2007)
      We study commutative algebras which are generalizations of Jordan algebras. The associator is defined as usual by (x, y, z) = (x y)z - x(y z). The Jordan identity is (x2, y, x) = 0. In the three generalizations given below, ...
    • The Wedderburn principal theorem for generalized almost-Jordan algebras 
      Arenas, Manuel (2007)
      We study commutative algebras A over fields of characteristic ≠2, 3 which satisfy the identity β{x(y(xx)) - x(x(xy))} + γ{y(x(xx)) - x(x(xy))} = 0. We do not assume power-associativity. We find the Peirce decomposition of ...