Abstract
Let R be a 2-torsion free semiprime *-ring, σ, τ two epimorphisms of R and f, d : R → R two additive mappings. In this paper we prove the following results: (i) d is a Jordan (σ, τ)*-derivation if and only if d is a Jordan triple (σ, τ)*-derivation. (ii) f is a generalized Jordan (σ, τ)*-derivation if and only if f is a generalized Jordan triple (σ, τ)*-derivation.
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Gölbaşı, Ö., Koç, E. Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations. Aequat. Math. 85, 581–591 (2013). https://doi.org/10.1007/s00010-012-0149-7
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DOI: https://doi.org/10.1007/s00010-012-0149-7