On generalized Jordan derivations of Lie triple systems. (English) Zbl 1224.17008

Najati, Abbas

Czech. Math. J. 60, No. 2, 541-547 (2010).

Summary: Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple \(\theta \)-derivation on a Lie triple system is a \(\theta \)-derivation.

MSC:

17A36	Automorphisms, derivations, other operators (nonassociative rings and algebras)
17A40	Ternary compositions

Keywords:

Lie triple system; \((\varphi ,\psi )\)-derivation; Jordan triple \((\varphi ,\psi )\)-derivation; \(\theta \)-derivation; Jordan triple \(\theta \)-derivation

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