Non-Linear New Product $A^{\ast }B-B^{\ast }A$ Derivations on $\ast$-Algebras

Ali Taghavi, Mehran Razeghi

Let $\mathcal{A}$ be a prime $\ast$-algebra. In this paper, we suppose that $\Phi :\mathcal{A}\to \mathcal{A}$ satisfies $$\Phi (A\diamond B)=\Phi (A)\diamond B+A\diamond \Phi (B)$$ where $A\diamond…