Abstract
We prove here, among other results, that if R is a commutative noetherian ring and projective R[x1, ..., xn]-modules of rank ≤ Krull dim R are extended, then finitely generated projective R[x1, ..., xn]-modules are extended. We also give an example of a nonfinitely generated projective module over an integral domain which contains no unimodular elements.
Original language | English |
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Pages (from-to) | 51-63 |
Number of pages | 13 |
Journal | Journal of Algebra |
Volume | 58 |
Issue number | 1 |
DOIs | |
State | Published - May 1979 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory