Research demonstrates that triple derivations in tensor products behave like derivations for unital algebras, suggesting broader implications.
Let [Formula: see text] and [Formula: see text] be nonassociative algebras over a field [Formula: see text]. Is every triple derivation of the tensor product algebra [Formula: see text] a derivation if the same holds true for [Formula: see text]? We show that the answer is affirmative if [Formula: see text] is unital and [Formula: see text] has a zero annihilator in [Formula: see text].
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Daniel Eremita (2025) studied this question.
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