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The magnetization $M(h)$ is used to identify three singlet quantum phases ofthe ladder with isotropic exchange interactions. The Dimer phase withfrustrated F exchanges in rungs and legs has a first-order $M(h)$ transition at$0$ K from singlet to ferromagnetic at the saturation field $h_s$. TheHaldane-DAF phase with strong F exchange in rungs and net AF exchange betweenrungs has continuous $M(h)$ and is adiabatically connected to the $S = 1$Heisenberg AF chain. The AF phase with strong F exchange in legs and net AFexchange between legs has continuous $M(h)$ and is adiabatically connected tothe spin-1/2 $J_1-J_2$ model with $J_1 > 0$ and $J_2 < 0$. All three singletphases have finite gaps to the lowest triplet state.

Singlet quantum phases and magnetization of the frustrated spin-1/2  ladder with ferromagnetic (F) exchange in legs and alternating F-AF exchange  in rungs