Nonlinear $\ast $-derivation-type maps on sum of triple products on $\ast $-algebras

	Nonlinear $\ast $-derivation-type maps on sum of triple products on $\ast $-algebras
International Journal of Nonlinear Analysis and Applications
مقاله 9، دوره 17، شماره 3، خرداد 2026، صفحه 127-137 اصل مقاله (326.81 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34391.5136
نویسندگان
Joao Carlos da Motta Ferreira^* ؛ Maria das Graças Bruno Marietto
Center for Mathematics, Computing and Cognition, Federal University of ABC, Avenida dos Estados, 5001, 09210-580, Santo Andre, Brazil
چکیده
Let $\mathcal{A}$ be a unital complex $\ast $-algebra having a nontrivial projection. In this paper, we proved that every $\ast $-derivation-type map $\Phi :\mathcal{A}\rightarrow \mathcal{A}$ on sum of triple products $\alpha _{1} abc+\alpha _{2} a^{}cb^{}+\alpha _{3} ba^{}c +\alpha _{4} cab^{}+\alpha _{5} bca+\alpha _{6} cb^{}a^{},$ where the scalars $\{\alpha _{k}\}_{k=1}^{6}$ are rational numbers satisfying some conditions, is an additive $\ast $-derivation. Some applications of the results obtained are also presented.
کلیدواژه‌ها
Additive $\ast $-derivations؛ $\ast $-algebras؛ prime algebras؛ von Neumann algebras
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