On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras

Abstract

The concepts of (generalized)(θ,φ)-prederivations and (generalized) Jordan(θ,φ)-prederivations on a Lie superalgebra are introduced. It is proved that Jordan(θ,φ)-prederivations (resp., generalized Jordan(θ,φ)-prederivations) are(θ,φ)-prederivations (resp., generalized(θ,φ)-prederivations) on a Lie superalgebra under some conditions. In particular, Jordanθ-prederivations areθ-prederivations on a Lie superalgebra.