Research articles
ScienceAsia 52 (2026): 1-8 |doi:
10.2306/scienceasia1513-1874.2026.045
Non-global nonlinear mixed Jordan triple derivations on
*-algebras
Jing Lu, Fenhong Li*
ABSTRACT: Let A be a unital ?-algebra with a nontrivial projection P satisfying XA P = 0 implies X = 0 and
XA (I ? P) = 0 implies X = 0. In this paper, it is shown that if a map ? : A ? A satisfies ?(A ? B ? C) =
?(A) ? B ? C + A? ?(B) ? C + A? B ? ?(C) for any A, B, C ? A with ABC? = 0, then ? is an additive ?-derivation on A .
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School of Mathematics and Computer Application, Shangluo University, Shangluo 726000 China |
* Corresponding author, E-mail: lfh768049@163.com
Received 21 Jul 2025, Accepted 30 Apr 2026
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