科研之友
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摘要
Let be a 2-torsion free commutative ring with identity and be the full matrix algebra over . In this note, we prove that every nonlinear Lie triple derivation on is of the standard form, i.e. it can be expressed as a sum of an inner derivation, an additive induced derivation and a functional annihilating all second commutators of . A open conjecture about Lie n-derivations is posed at the end of this note.
