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The supersymmetric version of the Miura and B\"acklund transformationsassociated with the supersymmetric Gelfand-Dickey bracket are investigated fromthe point of view of the Kupershmidt-Wilson theorem.Comment: 8 pages, Revtex, version to appear on Mod. Phys. Lett.

ON THE MIURA AND BÄCKLUND TRANSFORMATIONS ASSOCIATED WITH THE SUPERSYMMETRIC GELFAND–DICKEY BRACKET