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本文将给出关于参数集合Ω的约束条件，使得定义在交换环R上的分圆Birman-Murakami-Wenzl代数BMWr，2是秩为3r2的自由R-代数.In this paper, we will give the explicitly condition on the parameter set Ω such that the cyclotomic Birman-Murakami-Wenzl algebra BMWr,2 over a commutative ring is R-free with rank 3r2.