Abstract
Let R be a 2-torsion free semiprime *-ring and let α, β be surjective endomorphisms of R. The aim of the paper is to show that every generalized Jordan triple (α, β)*-derivation on R is a generalized Jordan (α, β)*-derivation. This result makes it possible to prove that every generalized Jordan triple (α, β)*-derivation on a semisimple H*- algebra is a generalized Jordan (α, β)*-derivation. Finally, we prove that every Jordan triple left α*-centralizer on a 2-torsion free semiprime ring is a Jordan left α*-centralizer.
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The research of the first two authors is partially supported by the Research Grants (UGC No. 39-37/2010(S(R)) and (INT/SLOVENIA/P-18/2009).
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Ali, S., Fošner, A., Fošner, M. et al. On Generalized Jordan Triple (α, β)*-Derivations and Related Mappings. Mediterr. J. Math. 10, 1657–1668 (2013). https://doi.org/10.1007/s00009-013-0277-x
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DOI: https://doi.org/10.1007/s00009-013-0277-x