Nonlinear mixed right Jordan and left bi-skew Jordan-type derivations on *-algebra

Source abstract

Abstract Let 𝔄 {\mathfrak{A}} be a unital ∗ {\ast} -algebra over the complex field ℂ {\mathbb{C}} . In this work, we prove that, under suitable conditions, every nonlinear mixed right Jordan and left bi-skew Jordan n -derivation is an additive ∗ {\ast} -derivation. The applicability of the main result is further illustrated through its extension to various significant special cases of unital ∗ {\ast} -algebras, namely prime ∗ {\ast} -algebras and factor von Neumann algebras.