An example of a simple derivation in two variables

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15 صفحه اول

On simple Shamsuddin derivations in two variables.

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.

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ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 2008

ISSN: 0010-1354,1730-6302

DOI: 10.4064/cm113-1-3