Let 𝒜 be a unital algebra and let ℳ be a unitary 𝒜-bimodule. We consider Jordan generalized derivations mapping from 𝒜 into ℳ. Our results on unitary algebras are applied to triangular algebras. In particular, we prove that any Jordan generalized derivation of a triangular algebra is a generalized derivation.
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Li et al. (2011) studied this question.
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