Randomized trial characterizes mixed Jordan triple derivations in *-rings, highlighting novel insights for *-algebras.
Let [Formula: see text] be a [Formula: see text]-torsion free unital *-ring, possessing a non-trivial symmetric idempotent. In the present paper, we discuss that, under certain mild conditions on [Formula: see text], a map [Formula: see text] : [Formula: see text] (not necessarily additive) satisfies [Formula: see text] for all [Formula: see text] if and only if it is an additive *-derivation. Furthermore, we discuss our main result to certain classes of *-algebras like as prime *-algebra, von Neumann algebras without central summands of type [Formula: see text] and standard operator algebras.
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Siddeeque et al. (2026) studied this question.
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