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On certain functional equations related to Jordan <i>*</i>-derivations in semiprime <i>*</i>-rings and standard operator algebras
Abstract The purpose of this paper is to investigate identities with Jordan *-derivations in semiprime *-rings. Let โ be a 2-torsion free semiprime *-ring. In this paper it has been shown that, if โ admits an additive mapping D : โโโ satisfying either D ( xyx ) = D ( โฆ