Graded q-pseudo-differential Operators and Supersymmetric Algebras

We give a supersymmetric generalization of the sine algebra and the quantum algebra $U_t(sl(2))$. Making use of the $q$-pseudo-differential operators graded with a fermionic algebra, we obtain a supersymmetric extension of sine algebra. With this scheme we also get a quantum superalgebra $U_t(sl(2\mathrm{/}1)$.