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Superconducting corrector magnets are planned to be installed at the SIS 100 accelerator ring for FAIR. The Nuclotron cable, used for the main dipole and quadrupole magnets, is adopted for the corrector magnets taking into account its advantages as high cooling efficiency and the compatibility to the whole accelerator lattice. The error compensation multipole corrector and the steerer are built as nested magnets to save longitudinal space in the ring, the chromaticity sextupole is a superferric magnet. We present the progress of design studies on these magnets.