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

Year 2025, Early Access, 1 - 13

Asma Ali , Mohd Tasleem , Abdul Khan

https://doi.org/10.15672/hujms.1340737

Abstract

Let $\Delta =\{\Ta_n\}_{n\in \mathbb{N}}$ 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

References

• [1] M.N. Daif, When is a multiplicative derivation additive?, Int. J. Math. Math. Sci. 14 (3), 615-618, 1991