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math.AC2019
On the Automorphism Group of a Polynomial Differential Ring in Two Variables
I. Pan, R. Baltazar
We consider differential rings of the form (K[x; y];D), where K is an algebraically closed field of characteristic zero and D : K[x; y] \to K[x; y] is a K-derivation. We study the…
math.AC2014★ 2 cited
On simple Shamsuddin derivations in two variables
R. Baltazar
We study the subgroup of -automorphisms of which commute with a simple derivation of We prove, for example, that this subgroup is trivial when is a Sh…
math.AC2013
On solutions for derivations of a Noetherian k-algebra and local simplicity
Rene Baltazar, Ivan Pan
We introduce a general notion of solution for a Noetherian differential -algebra and study its relationship with simplicity, where k is an algebraically closed field; then we an…