A note on nonlinear mixed Jordan triple derivation on *-algebras

Characterization of Nonlinear Mixed Bi-Skew Lie Triple Derivations on ∗-Algebras

“…In 2009, Wang [9] delved into the additivity of n-multiplicative isomorphisms and n-multiplicative derivations of rings. Recently, Rehman et al [10] mixed the concept of Jordan and Jordan * -products and proved that every nonlinear mixed Jordan triple derivation on an * -algebra is an additive * -derivation. Motivated by the above works, in this paper, we mixed the concept of Lie and bi-skew Lie products and accordingly defined nonlinear mixed bi-skew Lie triple derivation as follows: let Π : A → A be a map (without additivity).…”