Rene Baltazar

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20242026

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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…