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We study five different types of the homology of a Lie algebra over acommutative ring which are naturally isomorphic over fields. We show that theyare not isomorphic over commutative rings, even over $\mathbb Z,$ and studyconnections between them. In particular, we show that they are naturallyisomorphic in the case of a Lie algebra which is flat as a module. As anauxiliary result we prove that the Koszul complex of a module $M$ over aprincipal ideal domain that connects the exterior and the symmetric powers$0\to \Lambda^n M\to M \otimes \Lambda^{n-1} M \to \dots \to S^{n-1}M \otimes M\to S^nM\to 0 $ is purely acyclic.

On homology of Lie algebras over commutative rings