This paper first gives a concept of semi-simple R-lie algebra

then obtains some results for it. It isgeneralization for classical results. Specially we show equi- valent condition for a semi-simple R-lie algebra: Theorem: Let L be a R-lie algebra

then folowing conditition is equivalent: (i) L is a semi-simple R-lie algebra; (ii) Every left L-lie module is L semi-simple; (iii) Every short exact sequence of left L-lie modules is split.