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TORSION FREE AND PROJECTIVE MODULES
COLUMBIA UNIV NEW YORK DEPT OF MATHEMATICS
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Seshadri Proc. Nat. Acad. Sci. 44, 456, 1958 has proved that n 2, projective modules over the polynomial ring K x sub 1,...,X sub n, K a field, are free. By modifying Sesharis argument it is shown that R may be any Dedekind ring. An example is provided which shows that some assumption like integral closure on R is, in general, necessary for this conclusion. Author
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