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摘要


For a commutative ring with unity R, it is proved that R is a PF-ring if and only if the annihilator, a□n(a), for each a ε R is a pure ideal in R, Also it is proved that the polynomial ring, R[X], is a PF-ring if and only if R is a PF-ring. Finally, we prove that R is a PP-ring if and only if R[X] is a PP-ring.

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