Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493149 | Journal of Algebra | 2005 | 12 Pages |
Abstract
We prove a necessary and sufficient condition for certain fields defined by locally nilpotent derivations and monomials to be algebraically closed in a rational function field. This implies that a counterexample to the Fourteenth Problem of Hilbert in dimension four, which was recently given by the author, is obtained as the kernel of a derivation. It was previously unknown only in dimension four whether there exists such a counterexample.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shigeru Kuroda,