On $ast-$Reverse Derivable Maps


Abstract in English

Let $R$ be a ring with involution containing a nontrivial symmetric idempotent element $e$. Let $delta: Rrightarrow R$ be a mapping such that $delta(ab)=delta(b)a^{ast}+b^{ast}delta(a)$ for all $a,bin R$, we call $delta$ a $ast-$reverse derivable map on $R$. In this paper, our aim is to show that under some suitable restrictions imposed on $R$, every $ast-$reverse derivable map of $R$ is additive.

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