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Demonstrates an additive derivation in unital algebras, highlighting implications for algebraic structures.
Consider a unital *-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive *-derivation under certain conditions. As applications, we further investigate special classes of unital *-algebras, namely, prime *-algebras and factor von Neumann algebras using our main result.
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Alali et al. (2026) studied this question.
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