A NOTE ON THE KERNEL OF A LOCALLY NILPOTENT DERIVATION

Authors
FREUDENBURG G
Citation
G. Freudenburg, A NOTE ON THE KERNEL OF A LOCALLY NILPOTENT DERIVATION, Proceedings of the American Mathematical Society, 124(1), 1996, pp. 27-29
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
1
Year of publication
1996
Pages
27 - 29
Database
ISI
SICI code
0002-9939(1996)124:1<27:ANOTKO>2.0.ZU;2-1
Abstract
This note concerns locally nilpotent derivations D of the polynomial r ing C [X(1),...,X(n)]. It is shown that if D annihilates a polynomial in two variables, then D annihilates a variable.