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In 1999,Kim and Kwak asked one question that 'Is a ring R 2-primal if OP■P for each P ∈ mSpec(R)?'.In this paper,we prove that if O P has the IFP for each P ∈ mSpec(N),then OP■P for each P ∈ mSpec(N) if and only if N is a 2-primal near-ring and al