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Let be a commutative Noetherian ring of dimension (). Let be a local complete intersection ideal in of height . Suppose is free -module of rank and is torsion in . It is proved in this paper that is a set theoretic complete intersection ideal in if one of the following conditions holds: (1) , odd; (2) is even, and contains the field of rational numbers; (3) , and contains the field of rational numbers.

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