Nonlinear Jordan triple derivable mapping on $ * $-type trivial extension algebras
Xiuhai Fei,
Cuixian Lu,
Haifang Zhang
Abstract:<abstract><p>The aim of the paper was to give a description of nonlinear Jordan triple derivable mappings on trivial extension algebras. We proved that every nonlinear Jordan triple derivable mapping on a $ 2 $-torsion free $ * $-type trivial extension algebra is a sum of an additive derivation and an additive antiderivation. As an application, nonlinear Jordan triple derivable mappings on triangular algebras were characterized.</p></abstract>
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