title: On simple Shamsuddin derivations in two variables.
abstract: 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.
authors.affiliation: Instituto de Matematica, Estatística e Física, Universidade Federal do Rio Grande/FURG, Santo Antônio da Patrulha, Rua Barão do Caí, 125, 95500-000 Rio Grande, RS, Brazil.
authors.forename: Rene
authors.initials: R
authors.lastname: Baltazar