Jianhua Zhou
Abstract
We investigate the triple derivation algebras of Lie algebras. It is proved that, if the base ring contains , L is a perfect Lie algebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der(L) is an inner derivation.
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We investigate the triple derivation algebras of Lie algebras. It is proved that, if the base ring contains , L is a perfect Lie algebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der(L) is an inner derivation.
Key concepts: Mathematics, Center (category theory), Pure mathematics, Zero (linguistics), Lie algebra, Lie conformal algebra, Derivation, Algebra over a field