Let L be a Lie algebra and let A be an associative commutative algebra with unity, both over the same field F. We consider the following question. Is every generalized derivation (resp. quasiderivation) of L⊗A the sum of a derivation and a map from the centroid of L⊗A, if the same holds true for L?
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Benkovič et al. (2024) studied this question.
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