Accession Number:

AD0251807

Title:

TORSION FREE AND PROJECTIVE MODULES

Descriptive Note:

Corporate Author:

COLUMBIA UNIV NEW YORK DEPT OF MATHEMATICS

Personal Author(s):

• BASS, HYMAN

Report Date:

1960-09-30

Pagination or Media Count:

16.0

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 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

Descriptors:

• *ALGEBRAS
• FUNCTIONS(MATHEMATICS)
• RINGS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE