Non-linear bi-skew Jordan triple higher derivations on prime $*$-algebras

Abstract

Let $\Delta =\{\mathcal{T}_n\}_{n\in \mathbb{N}}$ be a non-linear bi-skew Jordan triple higher derivation on a prime $*$-algebra $\mathfrak{A}$. In this article, we prove that $\Delta$ is an additive $*$-higher derivation on $\mathfrak{A}$.

Keywords

• non-linear bi-skew Jordan triple higher derivations
• additive -higher derivations
• prime -algebras

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