대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제39권2호
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  • Pages.331-343
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  • 2024
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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NONLINEAR MIXED *-JORDAN TYPE n-DERIVATIONS ON *-ALGEBRAS

  • 투고 : 2023.08.17
  • 심사 : 2023.11.03
  • 발행 : 2024.04.30
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⟨ 이전 논문 다음 논문 ⟩

초록

Let ℜ be a *-algebra with unity I and a nontrivial projection P1. In this paper, we show that under certain restrictions if a map ψ : ℜ → ℜ satisfies $$\Psi(S_1{\diamond}S_2{\cdot}{\cdot}{\cdot}{\diamond}S_{n-1}{\bullet}S_n)=\sum_{k=1}^nS_1{\diamond}S_2{\diamond}{\cdot}{\cdot}{\cdot}{\diamond}S_{k-1}{\diamond}{\Psi}(S_k){\diamond}S_{k+1}{\diamond}{\cdot}{\cdot}{\cdot}{\diamond}S_{n-1}{\bullet}S_n$$ for all Sn-2, Sn-1, Sn ∈ ℜ and Si = I for all i ∈ {1, 2, . . . , n - 3}, where n ≥ 3, then ψ is an additive *-derivation.

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참고문헌

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