## Artigo

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## versão impressa ISSN 0001-3765versão On-line ISSN 1678-2690

#### Resumo

BALTAZAR, RENE. On simple Shamsuddin derivations in two variables. An. Acad. Bras. Ciênc. [online]. 2016, vol.88, n.4, pp.2031-2038. ISSN 0001-3765.  http://dx.doi.org/10.1590/0001-3765201620140718.

We study the subgroup of ${k}$-automorphisms of ${k[x,y]}$ which commute with a simple derivation ${d}$ of ${k[x,y]}$. We prove, for instance, that this subgroup is trivial when $d$ is a shamsuddin simple derivation. in the general case of simple derivations, we obtain properties for the elements of this subgroup.

Palavras-chave : dynamical degree; isotropy group; Shamsuddin derivations; simple derivations.

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