Metabelian Lie $Q$-algebras

This is the second paper in the series of three, which are in the series of papers, the aim of which is to construct algebraic geometry over metabelian Lie algebras. For investigation of quasiidentity of coordinate algebras we introduce metabelian Lie $Q$-algebras. We have come to the characterization of such algebras by several ways. We prove the theorem of embedding an arbitrary $Q$-algebra into the direct sum of primary $Q$-algebras.