Shows additive higher *-derivations in unital *-algebras, indicating broader applications in prime and von Neumann algebras.
Let A be a unital *-algebra containing a nontrivial projection. In this paper, we show that every nonlinear mixed bi-skew Jordan-type higher derivation on A is an additive higher *-derivation. Moreover, we apply the above result to prime *-algebras, factor von Neumann algebras and standard operator algebras.
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Yue et al. (2026) studied this question.
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