The generalized Cartan type $\mathbf{ S}$ Lie algebras in char 0 with the Lie bialgebra structures involved are quantized, where the Drinfel'd twist we used is proved to be a variation of the Jordanian twist. As the passage from char 0 to char p, their quantization integral forms are given. By the modular reduction and base changes, we obtain certain quantizations of the restricted universal enveloping algebra $\mathbf u(\mathbf{ S}(n;\underline{ 1}))$ (for the Cartan type simple modular restricted Lie algebra $\mathbf{ S}(n;\underline{ 1})$ of $\mathbf{ S}$ type). They are new Hopf algebras of truncated $p$-polynomial noncommutative and noncocommutative deformation of dimension $p^{ 1+(n-1)(p^n-1)}$, which contain the well-known Radford algebra (\cite{ DR}) as a Hopf subalgebra. As a by-product, we also get some Jordanian quantizations for $\mathfrak { sl}_n$, which are induced from those horizontal quantizations of $\mathbf S(n;\underline1)$.
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