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Non-quasiparticle (incoherent) states which play an important role in theelectronic structure of half-metallic ferromagnets (HMF) are investigatedconsistently in the case of antiferromagnetic $s-d(f)$ exchange interaction.Their appropriate description in the limit of strong correlations requires arearrangement of perturbation series in comparison with the usual Dysonequation. This consideration provides a solution of the Kondo problem in theHMF case and can be important for first-principle HMF calculations performedearlier for ferromagnetic $s-d(f)$ interaction.

Non-quasiparticle states in a half-metallic ferromagnet with antiferromagnetic $s-d(f)$ interaction