A note on locally nilpotent derivations
โ Scribed by Miguel Ferrero; Yves Lequain; Andrzej Nowicki
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 308 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 nilpot
Necessary and sufficient conditions for all the derivations of a finite dimensional simple nonassociative algebra, over a field of characteristic zero, to be inner are given in terms of the Lie multiplication algebra and the trace of the derivations. 1994 Academic Press, Inc.