2 citations · 2 across the 7 of their papers we have counts for
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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…
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 …