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- W2352206503 abstract "Let L be a finite-dimensional simple Lie algebra over an algebrically closed field F of characteristic zero. A nonlinear map f: L → L is called a strong commutativity preserving map if f is invertible and for any x,y ∈ L,[f( x) ,f( y) ] = [x,y]. It shows that a strong commutativity preserving map over L is just an identical mapping or negative identical mapping. A nonlinear map δ: L → L is called a nonlinear strong product zero derivation if for any x,y ∈ L,[δ( x) ,y]+[x,δ( y) ] = 0 . It is shown that a strong product zero derivation is just a zero map." @default.
- W2352206503 created "2016-06-24" @default.
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- W2352206503 date "2013-01-01" @default.
- W2352206503 modified "2023-09-23" @default.
- W2352206503 title "Nonlinear Strong Commutativity Preserving Maps and Nonlinear Strong Product Zero Derivations on Simple Lie Algebras" @default.
- W2352206503 hasPublicationYear "2013" @default.
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