In this paper, we characterize the *-Jordan semi-triple derivable mappings (i.e. a mapping Φ from * algebra \(\mathcal{A}\) into \(\mathcal{A}\) satisfying Φ(AB*A) = Φ(A)B*A + AΦ(B)*A + AB* Φ(A) for every A, B \(\mathcal{A}\)) in the finite dimensional case and infinite dimensional case.

中文翻译：

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*-约旦半三元导数映射

在本文中，我们刻画了* -Jordan半三元可导映射（即，从*代数\（\ mathcal {A} \）到\（\ mathcal {A} \）满足Φ（AB * A）= Φ（A）B * A + AΦ（B）* A + AB * Φ（A）在有限维和无限维情况下，每个A，B \（\ mathcal {A} \））。