BAI Ruipu and LI Qiyong
This paper considers structures of a class of solvable 3-Lie algebras which have a filiform 3-Lie algebra as a maximal Hypo-nilpotent ideal. It is proved that there does not exist metric structures on the 3-Lie algebras. And the concrete expression of derivations is given, and it is proved that there exist only two exterior derivations. The result can be used in the study of solvable 3-Lie algebras.