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This positive electrode active material for a non-aqueous electrolyte secondary battery comprises a nickel-containing lithium transition metal oxide, and is : primary particles by themselves, of the lithium transition metal oxide that contains at least 80 mol% of nickel with respect to the total molar quantity of the metal elements excluding lithium; or secondary particles each formed of an aggregation of 2-5 primary particles. A rare-earth compound and a magnesium compound are attached to the surfaces of the primary particles by themselves or the secondary particles.