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The Hermite ring conjecture in dimension one
- Source :
-
Journal of Algebra . Jul2008, Vol. 320 Issue 1, p437-441. 5p. - Publication Year :
- 2008
-
Abstract
- Abstract: We prove constructively that for any ring R of Krull dimension ⩽1 and , the group acts transitively on . In particular, we obtain that for any ring R with Krull dimension ⩽1, all finitely generated stably free modules over are free. This settles the long-standing Hermite ring conjecture for rings of Krull dimension ⩽1. [Copyright &y& Elsevier]
- Subjects :
- *RING theory
*ALGEBRAIC fields
*FINITE groups
*MATHEMATICAL programming
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 320
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 32177849
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2008.02.007