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.
Lie identities for skew and symmetric elements of semiprime superalgebras with superinvolution / Francesco, Catino; Roberto, Rizzo; Spinelli, Ernesto. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 368:(2012), pp. 199-208. [10.1016/j.jalgebra.2012.07.007]
Lie identities for skew and symmetric elements of semiprime superalgebras with superinvolution
SPINELLI, ERNESTO
2012
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.File allegati a questo prodotto
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