What question did this study set out to answer?

The aim is to explore the nature of nonlinear mixed bi-skew Jordan-type higher derivations in unital *-algebras.

March 18, 2026Open Access

Nonlinear Mixed Bi-Skew Jordan-Type Higher Derivations on *-Algebras

Puntos clave

The aim is to explore the nature of nonlinear mixed bi-skew Jordan-type higher derivations in unital *-algebras.
Defined a unital *-algebra with a nontrivial projection.
Analyzed the characteristics of mixed bi-skew Jordan-type higher derivations.
Demonstrated the additivity property in higher *-derivations.
Confirmed that every nonlinear mixed bi-skew Jordan-type higher derivation is an additive higher *-derivation.
Applied findings to prime *-algebras, factor von Neumann algebras, and standard operator algebras.

Resumen

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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Cite This Study

Yue et al. (Sun,) studied this question.

synapsesocial.com/papers/69ba43584e9516ffd37a4812 https://doi.org/https://doi.org/10.3390/math14060997

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