给出了李color三系的Frattini子系的定义,得到了李color三系的Frattini子系的一些性质.特别的,证明了李color三系T有分解T=T1+T2+……+Tm,则Ф(T)有分解Ф(T)=痧(乃)+Ф(T2)+……+Ф(Tm).
The paper gives the definition of Frattini subsystem of a Lie color triple system, and determines some properties of Frattini subsystem of a Lie color triple system. Moreover, it is proved that if Lie color triple system T has a decomposition T = T1+T2 + ... + Tm, then Ф(T) has a decomposition Ф(T) = Ф(T) @+(T2) +……+(Tm).