@article{Li2025, 
author = {Fenhong Li and Liang Kong and Chao Li},
title = {Non-global nonlinear mixed skew Jordan Lie triple derivations on prime    ∗-rings},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {4},
pages = {7795-7812},
keywords = {mixed skew Jordan Lie triple derivation, additive ∗-derivation, prime ∗-ring},
url = {https://www.sciopen.com/article/10.3934/math.2025357},
doi = {10.3934/math.2025357},
abstract = {Let        R   be a 2-torsion free unital prime    ∗-ring containing a nontrivial symmetric idempotent and        Z          c        (      R    ) be the anti-symmetric center of        R  . We prove that if a map    φ  :      R    →      R   satisfies    φ  (  [  A  ∙  B  ,  C  ]  )  =  [  φ  (  A  )  ∙  B  ,  C  ]  +  [  A  ∙  φ  (  B  )  ,  C  ]  +  [  A  ∙  B  ,  φ  (  C  )  ] for any    A  ,  B  ,  C  ∈      R   with    A  B      C          ∗        =  0, then there exists an additive    ∗-derivation    Θ of        R   and a nonlinear map    g  :      R    →      Z          c        (      R    ) such that    φ  (  A  )  =  Θ  (  A  )  +  g  (  A  ) for any    A  ∈      R  .}
}