TORSION FREE AND PROJECTIVE MODULES
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 30, 1960
- Accession Number
- AD0251807
Entities
People
- Hyman Bass
Organizations
- Columbia University