Nonlinear mixed *-Jordan type higher derivations on *-algebras

Key Points

• Nonlinear mixed *-Jordan-type higher derivations are shown to be additive higher *-derivations in unital *-algebras.
• The study particularly focuses on classical unital *-algebras including prime *-algebras and von Neumann algebras of type I1.
• Characterizations extend existing results, providing deeper insights into factor von Neumann algebras and operator algebras.
• Significant implications arise for algebraic structures, potentially influencing future research in *-algebra theory.