Rene Baltazar

activity

20242026

collaborators

4 papers

math.RA2026

A Characterization of Local Nilpotence for Derivations of Ore Extensions

Rene Baltazar, Samuel A. Lopes, Samuel Lopes +1

Let $k$ be an algebraically closed field of characteristic zero. A recent theorem of I. Pan characterizes the nonzero locally nilpotent derivations of $k [x, y]$ in terms of…

math.RA2025

The isotropy group of a derivation on a Danielewski-type algebra

Abdessamad Ahouita, Rene Baltazar, M'hammed El Kahoui +1

Given an algebraically closed field $k$ of characteristic zero, we consider in this paper $k$ -algebras of the form $A_{c, q} = k [x, y, z] / (c (x) z - q (x, y)),$ where $c (x) \in k [x]$ …

math.RA2025

On Isotropy Groups of Quantum Plane

Adriano De Santana, Rene Baltazar, Robson Vinciguerra +1

This paper investigates the isotropy groups of derivations on the Quantum Plane $k_{q} [x, y]$ , defined by the relation $y x = q x y$ , where $q \in k^{*}$ , with $q^{2} \neq = 1$ . The ma…

math.RA2024

On Isotropy Groups of Quantum Weyl Algebras and Jordanian Plane

Adriano de Santana, Rene Baltazar, Robson Vinciguerra +1

We study isotropy groups of $σ$ -derivations of the quantum Weyl algebra and of ordinary derivations of the Jordanian plane. For the quantum Weyl algebra $A_{q}^{1} (k)$ , with $q$ no…