An example of a simple derivation in two variables
Andrzej Nowicki
Colloquium Mathematicae, Tome 111 (2008), p. 25-31 / Harvested from The Polish Digital Mathematics Library
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Let k be a field of characteristic zero. We prove that the derivation D=∂/∂x+(ys+px)(∂/∂y), where s ≥ 2, 0 ≠ p ∈ k, of the polynomial ring k[x,y] is simple.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:283870 
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Andrzej Nowicki. An example of a simple derivation in two variables. Colloquium Mathematicae, Tome 111 (2008) pp. 25-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-3/