| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4587942 | Journal of Algebra | 2008 | 5 Pages |
Abstract
We prove constructively that for any ring R of Krull dimension ⩽1 and n⩾3, the group En(R[X]) acts transitively on Umn(R[X]). In particular, we obtain that for any ring R with Krull dimension ⩽1, all finitely generated stably free modules over R[X] are free. This settles the long-standing Hermite ring conjecture for rings of Krull dimension ⩽1.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
