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A note on locally nilpotent derivations

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


Locally Nilpotent Derivations over a UFD
โœ Daniel Daigle; Gene Freudenburg ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

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

A Note on Derivations of Simple Algebras
โœ A. Elduque; F. Montaner ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 319 KB

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.