Generalized derivations of current Lie algebrasBenkovič, Dominik (Avtor) Eremita, Daniel (Avtor) current Lie algebrasderivationgeneralized derivationLie algebrasquasiderivationtensor product of algebrasLet $L$ 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 $L \otimes A$ the sum of a derivation and a map from the centroid of $L \otimes A$, if the same holds true for $L$?20242025-03-31 11:17:13Neznano21802sl