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...
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Academia Brasileira de Ciências
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| Series: | Anais da Academia Brasileira de Ciências |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602031&lng=en&tlng=en |
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doaj-d39d52df5a294b05bd8d42f5279ff2cb2020-11-24T23:20:06ZengAcademia Brasileira de CiênciasAnais da Academia Brasileira de Ciências1678-26908842031203810.1590/0001-3765201620140718S0001-37652016000602031On simple Shamsuddin derivations in two variablesRENE BALTAZARAbstract 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.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602031&lng=en&tlng=endynamical degreeisotropy groupShamsuddin derivationssimple derivations |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
RENE BALTAZAR |
| spellingShingle |
RENE BALTAZAR On simple Shamsuddin derivations in two variables Anais da Academia Brasileira de Ciências dynamical degree isotropy group Shamsuddin derivations simple derivations |
| author_facet |
RENE BALTAZAR |
| author_sort |
RENE BALTAZAR |
| title |
On simple Shamsuddin derivations in two variables |
| title_short |
On simple Shamsuddin derivations in two variables |
| title_full |
On simple Shamsuddin derivations in two variables |
| title_fullStr |
On simple Shamsuddin derivations in two variables |
| title_full_unstemmed |
On simple Shamsuddin derivations in two variables |
| title_sort |
on simple shamsuddin derivations in two variables |
| publisher |
Academia Brasileira de Ciências |
| series |
Anais da Academia Brasileira de Ciências |
| issn |
1678-2690 |
| description |
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. |
| topic |
dynamical degree isotropy group Shamsuddin derivations simple derivations |
| url |
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602031&lng=en&tlng=en |
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AT renebaltazar onsimpleshamsuddinderivationsintwovariables |
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1725576031086051328 |