Title of article
The Hermite ring conjecture in dimension one
Author/Authors
Ihsen Yengui، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
5
From page
437
To page
441
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.
Keywords
Stably free modules , Hermite ring conjecture , Hermite rings , Quillen–Suslin theorem , Constructive mathematics , Unimodular rows
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698683
Link To Document