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The aim of the paper is to prove that every Jordan -derivation of a triangular algebra that exists either a left weak loyal bimodule or a right weak loyal bimodule, is a
-derivation. As an application we show that every Jordan
-derivation of a
(block) upper triangular matrix algebra, where
, is a
-derivation, which improves some results given by Benkovič in 2016.
No potential conflict of interest was reported by the author.
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-derivations of triangular algebras