Multiplicative Generalized Reverse ∗ CE-Derivations Acting on Rings with Involution

Abstract

Let $S$ be a ring with involution having a nontrivial symmetric idempotent element $e$ . If $\mathrm{\Omega }$ is any appropriate multiplicative generalized reverse ${}^{\ast }$ CE-derivation of $S$ with involution $\ast$ , then under some suitable restrictions on $S$ , $\mathrm{\Omega }$ is centrally-extended additive.