Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597251 | Journal of Pure and Applied Algebra | 2011 | 5 Pages |
Abstract
In this paper we show that the image of any locally finite k-derivation of the polynomial algebra k[x,y] in two variables over a field k of characteristic zero is a Mathieu subspace. We also show that the two-dimensional Jacobian conjecture is equivalent to the statement that the image of every k-derivation D of k[x,y] such that and is a Mathieu subspace of k[x,y].
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Physical Sciences and Engineering
Mathematics
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