Let A be a non-trivial semiprime associative superalgebra with superinvolution. In the present note we investigate when the subspaces of symmetric elements or skew elements of A are Lie nilpotent or Lie solvable. We show that these conditions determine the algebraic stucture of A
Lie identities for skew and symmetric elements of semiprime superalgebras with involution.
CATINO, Francesco;RIZZO, ROBERTO;
2012-01-01
Abstract
Let A be a non-trivial semiprime associative superalgebra with superinvolution. In the present note we investigate when the subspaces of symmetric elements or skew elements of A are Lie nilpotent or Lie solvable. We show that these conditions determine the algebraic stucture of AFile in questo prodotto:
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