Abstract
Let A be a Noetherian ring of Krull dimension n containing the field of rationals. Let P be a projective A[ T]-module of rank n with trivial determinant such that the A-module P/ TP has a free summand of rank one. It is proved that if n is even, then P has a free summand of rank one if it maps onto an ideal I of A[ T] of height n which is generated by n elements.
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