engleski

On Jordan triple derivations and related mappings

In this article we study certain functional equations and systems of functional equations related to (generalized) derivations on semiprime rings. In particular, we prove that any generalized Jordan triple derivation on a 2-torsion free semiprime ring is a generalized derivation. We also prove that any (generalized) Jordan triple *-derivation on a 2-torsion free semiprime *-ring is a (generalized) Jordan *-derivation.

Semiprime ring ; semiprime *-ring ; (generalized) derivation ; (generalized) Jordan triple derivation ; (generalized) Jordan *-derivation ; (generalized) Jordan triple *-derivation ; left (right) centralizer

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