2 citations · 2 across the 7 of their papers we have counts for
8 papers
On Locally Finite Derivations in Ore Extensions
R. Baltazar, A. Bianchi, M. Veloso +1
Let be an algebraically closed field of characteristic zero. We classify the locally finite derivations of arbitrary Ore extensions of , thus extending van den Es…
Simple derivations and isotropy on Danielewski-type algebras
Rene Baltazar
Let $\K$ be an algebraically closed field of characteristic zero. We study isotropy groups of simple derivations on Danielewski-type algebras \[ A_{c,q}=\K[x,y,z]/(c(x)z-q(x,y)). \…
On the isotropy of differential Ore extensions
Rene Baltazar, Leonardo Duarte Silva, Grasiela Martini
Let Ah = k[x][t; d] be the differential Ore extension. We study the action of the automorphism group of Ah on the derivations of Ah and explicitly describe, using Nowicki's decompo…
On Isotropy Group of Danielewski Surfaces
Rene Baltazar, Marcelo Veloso
In the present work we consider differential rings of the form where is a Danielewski surface and is a locally nilpotent derivation on $\mathcal B…
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…
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…
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…
Simplicity and Commutative Bases of Derivations in Polynomial and Power Series Rings
Rene Baltazar
The first part of the paper will describe a recent result of K. Retert in (\cite{Ret}) for and . This result states that if …