Accession Number : AD0251807

Title :   TORSION FREE AND PROJECTIVE MODULES

Corporate Author : COLUMBIA UNIV NEW YORK DEPT OF MATHEMATICS

Personal Author(s) : BASS, HYMAN

Report Date : 30 SEP 1960

Pagination or Media Count : 16

Abstract : 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 Seshari's 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)

Descriptors :   *ALGEBRAS, FUNCTIONS(MATHEMATICS), RINGS.

Distribution Statement : APPROVED FOR PUBLIC RELEASE