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 fo...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
|
| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602031&lng=en&tlng=en |
| Summary: | 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. |
|---|---|
| ISSN: | 1678-2690 |