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math.AC2026
On isotropy group of locally finite derivations on
Luis Cid, Marcelo Veloso
In this paper, we study the isotropy groups of locally finite derivations of the polynomial ring , using Van den Essen's classification of locally finite derivatio…
math.AC2025
On the tame isotropy group of a derivation
Angelo Bianchi, Adriana Freitas, Marcelo Veloso
We introduce the tame isotropy group of a derivation of a polynomial ring. We study this group for certain triangular derivations up to three variables, for simple derivations in t…
math.AC2018
Rings of constants of linear derivations on Fermat rings
Marcelo Oliveira Veloso, Ivan Shestakov
In this paper we characterize all the linear -derivations of the Fermat ring. We show that the Fermat ring has linear -derivations with trivial ring of cons…