Arzhantsev's conjecture that every semisimple Lie algebra is an iUA-Lie ring

A Lie algebra is semisimple if it has no nonzero solvable ideals, and an iUA-Lie ring is a Lie ring for which every commutator-preserving injection into another Lie ring is additive. Arzhantsev's conjecture. Every semisimple Lie algebra is an iUA-Lie ring. This conjecture concerns the rigidity of commutator-preserving injections and is presented as an open question about additivity in semisimple Lie algebras.