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 structure of A. © 2012 Elsevier Inc.
Lie identities for skew and symmetric elements of semiprime superalgebras with superinvolution
Catino F.;Rizzo R.;Spinelli E.
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 structure of A. © 2012 Elsevier Inc.File in questo prodotto:
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