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arXiv · 2002.03101

On $\ast-$Reverse Derivable Maps

Gurninder S. Sandhu·Bruno L. M. Ferreira·D. Kumar
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Abstract

Let $R$ be a ring with involution containing a nontrivial symmetric idempotent element $e$. Let $\delta: R\rightarrow R$ be a mapping such that $\delta(ab)=\delta(b)a^{\ast}+b^{\ast}\delta(a)$ for all $a,b\in R$, 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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Gurninder S. Sandhu, Bruno L. M. Ferreira, D. Kumar. 2020-02-08. On $\ast-$Reverse Derivable Maps. https://arxiv.org/abs/2002.03101

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