✦ LIBER ✦
Locally Nilpotent Derivations over a UFD and an Application to Rank Two Locally Nilpotent Derivations ofk[X1,…,Xn]
✍ Scribed by Daniel Daigle; Gene Freudenburg
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 228 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Given a UFD R containing the rational numbers, we study locally nilpotent w x R-derivations of the polynomial ring R X, Y ; in particular, we give a generalization of Rentschler's Theorem and a criterion for the existence of a slice. These results are then applied to describe rank two locally nilpotent derivations of w x kX, . . . , X , where k is a field of characteristic zero. We also give an example of 1 n 1 n r q 1 n * The research of the first author is supported by a grant from NSERC Canada. 353